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44-886: (Redirected from XLI ) "XLI" redirects here. For a medical condition, see X-linked ichthyosis . For the ISO 639-3 code, see Liburnian language . Natural number ← 40 41 42 → ← 40 41 42 43 44 45 46 47 48 49 → List of numbers Integers ← 0 10 20 30 40 50 60 70 80 90 → Cardinal forty-one Ordinal 41st (forty-first) Factorization prime Prime 13th Divisors 1, 41 Greek numeral ΜΑ´ Roman numeral XLI Binary 101001 2 Ternary 1112 3 Senary 105 6 Octal 51 8 Duodecimal 35 12 Hexadecimal 29 16 41 ( forty-one )

88-419: A Newman–Shanks–Williams prime . the smallest Sophie Germain prime to start a Cunningham chain of the first kind of three terms, {41, 83, 167}. an Eisenstein prime , with no imaginary part and real part of the form 3 n  − 1. a Proth prime as it is 5 × 2 + 1. the largest lucky number of Euler : the polynomial f( k ) = k − k + 41 yields primes for all

132-418: A decimal fraction , a fraction whose denominator is a power of 10 (e.g. 1.585 = ⁠ 1585 / 1000 ⁠ ); it may also be written as a ratio of the form ⁠ k / 2 ·5 ⁠ (e.g. 1.585 = ⁠ 317 / 2 ·5 ⁠ ). However, every number with a terminating decimal representation also trivially has a second, alternative representation as a repeating decimal whose repetend

176-703: A linear equation with integer coefficients, and its unique solution is a rational number. In the example above, α = 5.8144144144... satisfies the equation The process of how to find these integer coefficients is described below . Given a repeating decimal x = a . b c ¯ {\displaystyle x=a.b{\overline {c}}} where a {\displaystyle a} , b {\displaystyle b} , and c {\displaystyle c} are groups of digits, let n = ⌈ log 10 ⁡ b ⌉ {\displaystyle n=\lceil {\log _{10}b}\rceil } ,

220-549: A prime denominator other than 2 or 5 (i.e. coprime to 10) always produces a repeating decimal. The length of the repetend (period of the repeating decimal segment) of ⁠ 1 / p ⁠ is equal to the order of 10 modulo p . If 10 is a primitive root modulo p , then the repetend length is equal to p  − 1; if not, then the repetend length is a factor of p  − 1. This result can be deduced from Fermat's little theorem , which states that 10 ≡ 1 (mod p ) . The base-10 digital root of

264-431: A rational number represented as a fraction into decimal form, one may use long division . For example, consider the rational number ⁠ 5 / 74 ⁠ : etc. Observe that at each step we have a remainder; the successive remainders displayed above are 56, 42, 50. When we arrive at 50 as the remainder, and bring down the "0", we find ourselves dividing 500 by 74, which is the same problem we began with. Therefore,

308-438: A simple continued fraction with period 3. a prime index prime, as 13 is prime. In science [ edit ] The atomic number of niobium . In astronomy [ edit ] Messier object M41 , a magnitude 5.0 open cluster in the constellation Canis Major . The New General Catalogue object NGC 41 , a spiral galaxy in the constellation Pegasus . In music [ edit ] " #41 ",

352-436: A number whose digits are eventually periodic (that is, after some place, the same sequence of digits is repeated forever); if this sequence consists only of zeros (that is if there is only a finite number of nonzero digits), the decimal is said to be terminating , and is not considered as repeating. It can be shown that a number is rational if and only if its decimal representation is repeating or terminating. For example,

396-508: A prime p is both full reptend prime and safe prime , then ⁠ 1 / p ⁠ will produce a stream of p  − 1 pseudo-random digits . Those primes are Some reciprocals of primes that do not generate cyclic numbers are: (sequence A006559 in the OEIS ) The reason is that 3 is a divisor of 9, 11 is a divisor of 99, 41 is a divisor of 99999, etc. To find the period of ⁠ 1 / p ⁠ , we can check whether

440-430: A prime p which ends in the digit 1 in base 10 and whose reciprocal in base 10 has a repetend with length p  − 1. In such primes, each digit 0, 1,..., 9 appears in the repeating sequence the same number of times as does each other digit (namely, ⁠ p  − 1 / 10 ⁠ times). They are: A prime is a proper prime if and only if it is a full reptend prime and congruent to 1 mod 10. If

484-675: A region where the Roman three-name formula ( praenomen , nomen gentile , cognomen : Caius Julius Caesar ) spread at an early date, a native two-name formula appears in several variants. Personal name plus family name is found in southern Liburnia, while personal name plus family name plus patronymic is found throughout the Liburnian area, for example: Avita Suioca Vesclevesis , Velsouna Suioca Vesclevesis f(ilia) , Avita Aquillia L(uci) f(ilia) , Volsouna Oplica Pl(a)etoris f(ilia) , Vendo Verica Triti f(ilius) . The majority of

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528-739: A song by Dave Matthews Band . " American Skin (41 Shots) " is a song by Bruce Springsteen about an immigrant murder victim who was shot at 41 times by the NYPD . In film [ edit ] The name of an independent documentary about Nicholas O'Neill , the youngest victim of the Station nightclub fire . 2012 documentary on the life of the 41st President of the United States George H. W. Bush . In other fields [ edit ] The international direct dialing (IDD) code for Switzerland . Bush 41, George H. W. Bush ,

572-406: Is 0, the expansion terminates at that point. Then the length of the repetend, also called "period", is defined to be 0. If 0 never occurs as a remainder, then the division process continues forever, and eventually, a remainder must occur that has occurred before. The next step in the division will yield the same new digit in the quotient, and the same new remainder, as the previous time the remainder

616-1211: Is 2*n*(n+1)+1. Sums of two consecutive squares. Also, consider all Pythagorean triples (X, Y, Z equal to Y+1) ordered by increasing Z; then sequence gives Z values.)" . The On-Line Encyclopedia of Integer Sequences . OEIS Foundation . Retrieved 2024-02-09 . ^ Sloane, N. J. A. (ed.). "Sequence A000668 (Mersenne primes (primes of the form 2^n - 1).)" . The On-Line Encyclopedia of Integer Sequences . OEIS Foundation . Retrieved 2024-02-09 . ^ "Sloane's A013646: Least m such that continued fraction for sqrt( m ) has period n " . The On-Line Encyclopedia of Integer Sequences . OEIS Foundation . Retrieved 2021-03-18 . ^ #41 - Dave Matthews Band | Song Info | AllMusic , retrieved 2020-08-10 ^ American Skin (41 Shots) - Mary J. Blige | Songs, Reviews, Credits | AllMusic , retrieved 2020-08-10 ^ 41 (2007) - Christian O'Neill, Christian de Rezendes | Synopsis, Characteristics, Moods, Themes and Related | AllMovie , retrieved 2020-08-10 ^ "41 (II)" . IMDb . Retrieved June 16, 2013 . ^ "OFCOM - Number blocks and codes" . Archived from

660-399: Is a bigger number than the previous one. In the succession above, for instance, we see that 0.142857... < 0.285714... < 0.428571... < 0.571428... < 0.714285... < 0.857142.... This, for cyclic fractions with long repetends, allows us to easily predict what the result of multiplying the fraction by any natural number n will be, as long as the repetend is known. A proper prime is

704-407: Is cyclic thus has a recurring decimal of even length that divides into two sequences in nines' complement form. For example ⁠ 1 / 7 ⁠ starts '142' and is followed by '857' while ⁠ 6 / 7 ⁠ (by rotation) starts '857' followed by its nines' complement '142'. The rotation of the repetend of a cyclic number always happens in such a way that each successive repetend

748-1237: Is said to be irrational . Their decimal representation neither terminates nor infinitely repeats, but extends forever without repetition (see § Every rational number is either a terminating or repeating decimal ). Examples of such irrational numbers are √ 2 and π . There are several notational conventions for representing repeating decimals. None of them are accepted universally. In English, there are various ways to read repeating decimals aloud. For example, 1.2 34 may be read "one point two repeating three four", "one point two repeated three four", "one point two recurring three four", "one point two repetend three four" or "one point two into infinity three four". Likewise, 11. 1886792452830 may be read "eleven point repeating one double eight six seven nine two four five two eight three zero", "eleven point repeated one double eight six seven nine two four five two eight three zero", "eleven point recurring one double eight six seven nine two four five two eight three zero" "eleven point repetend one double eight six seven nine two four five two eight three zero" or "eleven point into infinity one double eight six seven nine two four five two eight three zero". In order to convert

792-713: Is simply subtitled Survivor 41 . See also [ edit ] List of highways numbered 41 References [ edit ] ^ "Sloane's A002267 : The 15 supersingular primes" . The On-Line Encyclopedia of Integer Sequences . OEIS Foundation . Retrieved 2016-05-30 . ^ "Sloane's A088165 : NSW primes" . The On-Line Encyclopedia of Integer Sequences . OEIS Foundation . Retrieved 2016-05-30 . ^ "Sloane's A080076 : Proth primes" . The On-Line Encyclopedia of Integer Sequences . OEIS Foundation . Retrieved 2016-05-30 . ^ Sloane, N. J. A. (ed.). "Sequence A001844 (Centered square numbers: a(n)

836-471: Is the natural number following 40 and preceding 42 . [REDACTED] Look up forty-one in Wiktionary, the free dictionary. In mathematics [ edit ] the 13th smallest prime number . The next is 43 , making both twin primes . the sum of the first six prime numbers (2 + 3 + 5 + 7 + 11 + 13). the 12th supersingular prime

880-403: Is the digit 9 . This is obtained by decreasing the final (rightmost) non-zero digit by one and appending a repetend of 9. Two examples of this are 1.000... = 0.999... and 1.585000... = 1.584999... . (This type of repeating decimal can be obtained by long division if one uses a modified form of the usual division algorithm . ) Any number that cannot be expressed as a ratio of two integers

924-782: Is the length of the (decimal) repetend. The lengths ℓ 10 ( n ) of the decimal repetends of ⁠ 1 / n ⁠ , n = 1, 2, 3, ..., are: For comparison, the lengths ℓ 2 ( n ) of the binary repetends of the fractions ⁠ 1 / n ⁠ , n = 1, 2, 3, ..., are: The decimal repetends of ⁠ 1 / n ⁠ , n = 1, 2, 3, ..., are: The decimal repetend lengths of ⁠ 1 / p ⁠ , p = 2, 3, 5, ... ( n th prime), are: The least primes p for which ⁠ 1 / p ⁠ has decimal repetend length n , n = 1, 2, 3, ..., are: The least primes p for which ⁠ k / p ⁠ has n different cycles ( 1 ≤ k ≤ p −1 ), n = 1, 2, 3, ..., are: A fraction in lowest terms with

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968-411: Is the sum of an integer ( y − c {\displaystyle y-c} ) and a rational number ( 10 k c 10 k − 1 {\textstyle {\frac {10^{k}c}{10^{k}-1}}} ), x {\displaystyle x} is also rational. Thereby fraction is the unit fraction ⁠ 1 / n ⁠ and ℓ 10

1012-590: The Iron Age and the beginning of the Common Era . These are insufficient for a precise linguistic classification, other than a general indication that they have an Indo-European basis, but also may incorporate significant elements from Pre-Indo-European languages. This also appears to be the case in their social relations, and such phenomena are likely related to their separate cultural development, physical isolation and mixed ethnic origins. Following studies of

1056-419: The OEIS ). Every proper multiple of a cyclic number (that is, a multiple having the same number of digits) is a rotation: The reason for the cyclic behavior is apparent from an arithmetic exercise of long division of ⁠ 1 / 7 ⁠ : the sequential remainders are the cyclic sequence {1, 3, 2, 6, 4, 5} . See also the article 142,857 for more properties of this cyclic number. A fraction which

1100-1053: The i- th digit , and x = y + ∑ n = 1 ∞ c ( 10 k ) n = y + ( c ∑ n = 0 ∞ 1 ( 10 k ) n ) − c . {\displaystyle x=y+\sum _{n=1}^{\infty }{\frac {c}{{(10^{k})}^{n}}}=y+\left(c\sum _{n=0}^{\infty }{\frac {1}{{(10^{k})}^{n}}}\right)-c.} Since ∑ n = 0 ∞ 1 ( 10 k ) n = 1 1 − 10 − k {\displaystyle \textstyle \sum _{n=0}^{\infty }{\frac {1}{{(10^{k})}^{n}}}={\frac {1}{1-10^{-k}}}} , x = y − c + 10 k c 10 k − 1 . {\displaystyle x=y-c+{\frac {10^{k}c}{10^{k}-1}}.} Since x {\displaystyle x}

1144-727: The 41st President of the United States . In Mexico "cuarenta y uno" (41) is slang referring to a homosexual . This is due to the 1901 arrest of 41 homosexuals at a hotel in Mexico City during the government of Porfirio Díaz (1876–1911). See: Dance of the Forty-One Number of ballistic missile submarines of the George Washington class and its successors, collectively known as the " 41 for Freedom ". The 41st season of CBS's reality program Survivor

1188-1078: The Liburnians at the north-eastern Istrian coast were strongly Venetic. Untermann has suggested three groups of Liburnian names: one structurally similar to those of the Veneti and Histri; another linked to the Dalmatae , Iapodes and other Illyrians on the mainland to the south of the Liburnians, and a third group of names that were common throughout Liburnian territory, and lacked any relation to those of their neighbors. Other proper names, such as those of local deities and toponyms also showed differing regional distributions. According to R. Katičić , Liburnian toponyms, in both structure and form, also demonstrate diverse influences, including Pre-Indo-European , Indo-European and other, purely local features. Katičić has also stated that toponyms were distributed separately along ethnic and linguistic lines. S. Čače has noted that it can not be determined whether Liburnian

1232-453: The Romans in 35 BCE. The Liburnian language was replaced by Latin , and underwent language death –most likely during Late Antiquity . The Liburnians nevertheless retained some of their cultural traditions until the 4th century CE, especially in the larger cities – a fact attested by archaeology. The single name plus patronymic formula common among Illyrians is rare among Liburnians. In

1276-538: The area, in Latinized form from the 1st century AD. Smaller differences found in the archaeological material of narrower regions in Liburnia are in a certain measure reflected also in these scarce linguistic remains. This has caused much speculation about the language but no certainty. Features shared by Liburnian and other languages have been noted in Liburnian language remains, names and toponyms, dating from between

1320-454: The decimal point, repeating the 13-digit pattern "1886792452830" forever, i.e. 11.18867924528301886792452830.... The infinitely repeated digit sequence is called the repetend or reptend . If the repetend is a zero, this decimal representation is called a terminating decimal rather than a repeating decimal, since the zeros can be omitted and the decimal terminates before these zeros. Every terminating decimal representation can be written as

1364-399: The decimal repeats: 0.0675 675 675 .... For any integer fraction ⁠ A / B ⁠ , the remainder at step k, for any positive integer k , is A × 10 (modulo B ). For any given divisor, only finitely many different remainders can occur. In the example above, the 74 possible remainders are 0, 1, 2, ..., 73. If at any point in the division the remainder

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1408-463: The decimal representation of ⁠ 1 / 3 ⁠ becomes periodic just after the decimal point , repeating the single digit "3" forever, i.e. 0.333.... A more complicated example is ⁠ 3227 / 555 ⁠ , whose decimal becomes periodic at the second digit following the decimal point and then repeats the sequence "144" forever, i.e. 5.8144144144.... Another example of this is ⁠ 593 / 53 ⁠ , which becomes periodic after

1452-11839: The election of his son, George W. Bush or Bush 43—the forty-third president of the United States.] ^ "Reference 1" . Archived from the original on 2008-05-31 . Retrieved 2008-06-13 . ^ "Reference 2" . Archived from the original on 2007-11-30 . Retrieved 2008-06-13 . {{ cite web }} : CS1 maint: unfit URL ( link ) ^ Wolfe, John (2020-07-17). "CBS Scratches 'Survivor' Season 41 Off Of Fall Schedule, Jeff Probst Dishes" . Showbiz Cheat Sheet . Retrieved 2020-11-13 . v t e Integers 0s   -1     0     1     2     3     4     5     6     7     8     9   10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100s 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200s 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300s 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400s 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500s 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600s 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700s 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800s 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900s 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 ≥ 1000 1000 2000 3000 4000 5000 6000 7000 8000 9000 10,000 20,000 30,000 40,000 50,000 60,000 70,000 80,000 90,000 100,000 1,000,000 10,000,000 100,000,000 1,000,000,000 Retrieved from " https://en.wikipedia.org/w/index.php?title=41_(number)&oldid=1256787495 " Category : Integers Hidden categories: CS1 maint: unfit URL Articles with short description Short description matches Wikidata Pages using infobox number with prime parameter Liburnian language No writings in Liburnian are known. The only presumed Liburnian linguistic remains are Liburnian toponyms and some family and personal names in Liburnia presumed to be native to

1496-443: The integers k with 1 ≤ k < 41 . the sum of two squares (4 + 5), which makes it a centered square number . the sum of the first three Mersenne primes , 3, 7, 31. the sum of the sum of the divisors of the first 7 positive integers . the smallest integer whose reciprocal has a 5-digit repetend . That is a consequence of the fact that 41 is a factor of 99999. the smallest integer whose square root has

1540-430: The number of digits of b {\displaystyle b} . Multiplying by 10 n {\displaystyle 10^{n}} separates the repeating and terminating groups: 10 n x = a b . c ¯ . {\displaystyle 10^{n}x=ab.{\bar {c}}.} If the decimals terminate ( c = 0 {\displaystyle c=0} ),

1584-655: The numerical organization of territory. These are also features of the wider Adriatic region, especially Etruria , Messapia and southern Italy. Toponymical and onomastic connections to Asia Minor may also indicate a Liburnian presence amongst the Sea Peoples . The old toponym Liburnum in Liguria may also link the Liburnian name to the Etruscans , as well as the proposed Tyrsenian language family. The Liburnians underwent Romanization after being conquered by

1628-709: The onomastics of the Roman province of Dalmatia , Géza Alföldy has suggested that the Liburni and Histri belonged to the Venetic language area. In particular, some Liburnian anthroponyms show strong Venetic affinities, a few similar names and common roots, such as Vols- , Volt- , and Host- (< PIE *ghos-ti- 'stranger, guest, host'). Liburnian and Venetic names sometimes also share suffixes in common, such as -icus and -ocus . Jürgen Untermann , who has focused on Liburnian and Venetic onomastics, considers that only

1672-428: The original on 2010-07-15 . Retrieved 2009-05-05 . ^ Kellogg, William O. (2010). Barron's AP United States History (9th ed.). Barron's Educational Series. p.  364 . ISBN   9780764141843 . George H. W. Bush (Republican) [Bush 41—i.e., the first President Bush, George H. W. Bush was the forty-first President of the United States, and so some have referred to him in this way since

1716-401: The preceding names are unknown among the eastern and southern neighbors of the Liburnians ( Dalmatae , etc.), yet many have Venetic complements. The following names are judged to be exclusively Liburnian, yet one ( Buzetius ) is also attested among the neighboring Iapodes to the north and northeast: Repetend A repeating decimal or recurring decimal is a decimal representation of

1760-427: The prime p divides some number 999...999 in which the number of digits divides p  − 1. Since the period is never greater than p  − 1, we can obtain this by calculating ⁠ 10 − 1 / p ⁠ . For example, for 11 we get and then by inspection find the repetend 09 and period of 2. Those reciprocals of primes can be associated with several sequences of repeating decimals. For example,

1804-656: The proof is complete. For c ≠ 0 {\displaystyle c\neq 0} with k ∈ N {\displaystyle k\in \mathbb {N} } digits, let x = y . c ¯ {\displaystyle x=y.{\bar {c}}} where y ∈ Z {\displaystyle y\in \mathbb {Z} } is a terminating group of digits. Then, c = d 1 d 2 . . . d k {\displaystyle c=d_{1}d_{2}\,...d_{k}} where d i {\displaystyle d_{i}} denotes

41 (number) - Misplaced Pages Continue

1848-703: The repetend of the reciprocal of any prime number greater than 5 is 9. If the repetend length of ⁠ 1 / p ⁠ for prime p is equal to p  − 1 then the repetend, expressed as an integer, is called a cyclic number . Examples of fractions belonging to this group are: The list can go on to include the fractions ⁠ 1 / 109 ⁠ , ⁠ 1 / 113 ⁠ , ⁠ 1 / 131 ⁠ , ⁠ 1 / 149 ⁠ , ⁠ 1 / 167 ⁠ , ⁠ 1 / 179 ⁠ , ⁠ 1 / 181 ⁠ , ⁠ 1 / 193 ⁠ , ⁠ 1 / 223 ⁠ , ⁠ 1 / 229 ⁠ , etc. (sequence A001913 in

1892-838: Was more related to the North Adriatic language group (Veneti, Histri) or the languages of Iapodes and Dalmatae, due to the scarcity of evidence. While the Liburnians differed significantly from the Histri and Veneti, both culturally and ethnically, they have been linked to the Dalmatae by their burial traditions. Other toponymical and onomastic similarities have been found between Liburnia and other regions of both Illyria and Asia Minor , especially Lycia , Lydia , Caria , Pisidia , Isauria , Pamphylia , Lycaonia and Cilicia , as well as similarities in elements of social organization, such as matriarchy / gynecocracy ( gynaikokratia ) and

1936-476: Was the same. Therefore, the following division will repeat the same results. The repeating sequence of digits is called "repetend" which has a certain length greater than 0, also called "period". In base 10, a fraction has a repeating decimal if and only if in lowest terms , its denominator has any prime factors besides 2 or 5, or in other words, cannot be expressed as 2  5 , where m and n are non-negative integers. Each repeating decimal number satisfies

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