A114839 Indices of Fibonacci numbers with 6 distinct prime factors.

40, 48, 54, 56, 64, 78, 92, 95, 99, 102, 116, 117, 129, 133, 155, 159, 175, 177, 188, 194, 205, 206, 219, 237, 245, 265, 278, 314, 323, 327, 339, 341, 343, 346, 356, 358, 361, 362, 394, 407, 411, 417, 422, 427, 437, 446, 454, 466, 482, 502, 503, 505, 514, 515, 527, 535, 542, 545, 551, 562, 573, 577, 583, 593, 607, 614, 622, 623, 625, 634, 655, 662, 667, 674, 713, 727, 731, 769, 781, 789, 791, 803, 809, 821, 835, 893, 917, 919, 974, 977, 982, 993, 995, 1013, 1039, 1047, 1057, 1081, 1097, 1103, 1121, 1138, 1151, 1165, 1172, 1202, 1203

Offset

1,1

Comments

Numbers n such that A000045(n) is in A046306.

Links

Amiram Eldar, Table of n, a(n) for n = 1..123

Blair Kelly, Fibonacci and Lucas Factorizations.

Example

a(1)=40 because 40th fibonacci number consists of 6 distinct prime factors (i.e. 102334155 = 3 x 5 x 7 x 11 x 41 x 2161)
a(31) = 341 because F(341)= 89 * 557 * 2417 * 761227665342913 * 197907695243868721 * 4558282384863830955384586674337 has exactly 6 prime factors.

Prog

(PARI) n=1; while(n<330, if(omega(fibonacci(n))==6, print1(n, ", ")); n++)

Crossrefs

Cf. A114823-A114826, A114836-A114841.

Column k=6 of A303217.

Sequence in context: A333712 A204746 A197734 * A179435 A120382 A290017

Adjacent sequences: A114836 A114837 A114838 * A114840 A114841 A114842

Keyword

nonn

Author

Shyam Sunder Gupta, Feb 19 2006

Extensions

More terms from Jonathan Vos Post, Mar 22 2006

Corrected by Ryan Propper, Apr 26 2006

a(55)-a(107) from Max Alekseyev, Aug 18 2013

Status

approved