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

Author

Shyam Sunder Gupta, Feb 19 2006

Keywords

• nonn

Comments

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

Examples

			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.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..123
• Blair Kelly, Fibonacci and Lucas Factorizations.

Crossrefs

Cf. A114823-A114826, A114836-A114841.

Column k=6 of A303217.

Programs

PARI

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

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