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Lucas primitive part |
>rank prime digits who when comment 1 primV(205011) 28552 x39 May 2009 Lucas primitive part 2 primV(145353) 18689 c69 Dec 2013 ECPP, Lucas primitive part 3 primV(86756) 16920 c74 Jan 2015 Lucas primitive part, ECPP 4 primV(123573) 16198 c77 May 2019 Lucas primitive part, ECPP 5 primV(121227) 15890 c77 May 2019 Lucas primitive part, ECPP 6 primV(120258) 15649 c77 May 2019 Lucas primitive part, ECPP 7 primV(76568) 15034 c74 Oct 2015 Lucas primitive part, ECPP 8 primV(75316) 14897 c74 Dec 2015 Lucas primitive part, ECPP 9 primV(91322) 14847 c74 Feb 2016 Lucas primitive part, ECPP 10 primV(110676) 14713 c74 Jun 2016 Lucas primitive part, ECPP 11 primV(112914) 14446 c74 Nov 2016 Lucas primitive part, ECPP 12 primV(82630) 13814 c74 Sep 2014 Lucas primitive part, ECPP 13 primV(73549) 12324 c74 Jul 2015 Lucas primitive part, ECPP 14 primV(57724) 12063 p54 Jul 2001 Lucas primitive part, cyclotomy 15 primV(59018) 11789 c74 Jun 2015 Lucas primitive part, ECPP 16 primV(77231) 11637 c74 May 2015 Lucas primitive part, ECPP 17 primV(83481) 11631 c74 May 2015 Lucas primitive part, ECPP 18 primV(64652) 11577 c74 Apr 2015 Lucas primitive part, ECPP 19 primV(56356) 11557 c74 Feb 2015 Lucas primitive part, ECPP 20 primV(58672) 11557 c74 Feb 2015 Lucas primitive part, ECPP
- Carmichael1913
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- Lucas1878
- E. Lucas, "Theorie des fonctions numeriques simplement periodiques," Amer. J. Math., 1 (1878) 184--240 and 289--231.
- Morrison75
- M. Morrison, "A note on primality testing using Lucas sequences," Math. Comp., 29 (1975) 181--182. MR 51:5469
- Ribenboim95
- P. Ribenboim, The new book of prime number records, 3rd edition, Springer-Verlag, 1995. New York, NY, pp. xxiv+541, ISBN 0-387-94457-5. MR 96k:11112 [An excellent resource for those with some college mathematics. Basically a Guinness Book of World Records for primes with much of the relevant mathematics. The extensive bibliography is seventy-five pages.]
- Schinzel1974
- A. Schinzel, "Primitive divisors of the expression An - Bn in algebraic number fields," J. Reine Angew. Math., 268/269 (1974) 27--33. MR 49:8961
- Stewart1977
- C. L. Stewart, "On divisors of Fermat, Fibonacci, Lucas and Lehmer numbers," Proc. Lond. Math. Soc., 35:3 (1977) 425--447. MR 58:10694
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- Voutier, P. M., "Primitive divisors of Lucas and Lehmer sequences," Math. Comp., 64:210 (1995) 869--888. MR1284673 (Annotation available)
- Ward1959
- M. Ward, "Tests for primality based on Sylvester's cyclotomic numbers," Pacific J. Math., 9 (1959) 1269--1272. MR 21:7180