A079348 -id:A079348 - cp's OEIS frontend

A079346 Primes p such that F(p-(p/5)) is the first Fibonacci number that p divides.

2, 3, 5, 7, 11, 19, 23, 31, 43, 59, 67, 71, 79, 83, 103, 127, 131, 163, 167, 179, 191, 223, 227, 239, 251, 271, 283, 311, 359, 367, 379, 383, 419, 431, 439, 443, 463, 467, 479, 487, 491, 499, 503, 523, 547, 571, 587, 599, 607, 631, 643, 647, 659, 683, 719, 727, 739, 751, 787, 823, 827

Offset: 1

Jon Perry, Jan 04 2003

nonn

The n-th prime p is in this sequence iff A001602(n) = p-(5/p) (that is the maximum possible value of A001602(n)).

			7 belongs to this sequence since (7/5) = -1, F(8) = 21 and 7 does not divide F(1) to F(7).

Amiram Eldar, Table of n, a(n) for n = 1..10000

Union of A000057, A106535 and {5}.

Cf. A001602, A079347, A079348, A079349.

forprime (p=2,500, wss=p-kronecker(5,p); for(n=1, wss, if( fibonacci(n)%p==0, if( n==wss, print1(p","), break) ) ))

Corrected and edited by Max Alekseyev, Nov 23 2007

A079347 Fibonacci(p-(p/5)) is the first Fibonacci number that p divides and this is p-(p/5).

Original entry on oeis.org

3, 4, 5, 8, 10, 18, 24, 30, 44, 58, 68, 70, 78, 84, 104, 128, 130, 164, 168, 178, 190, 224, 228, 238, 250, 270, 284, 310, 358, 368, 378, 384, 418, 430, 438, 444, 464, 468, 478, 488, 490, 498, 504, 524, 548, 570, 588, 598, 608, 630, 644, 648, 658, 684, 718, 728, 738, 750

Offset: 1

Jon Perry, Jan 04 2003

nonn

			a(4) = 8 because A079346(4) = 7, (7/5) = -1 and 7-(-1) = 8.

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A079346, A079348, A079349, A262708.

forprime (p=2, 500, wss=p-kronecker(5, p); for(n=1, wss, if( fibonacci(n)%p==0, if( n==wss, print1(wss", "), break) ) ))

Offset corrected and a(1)-a(3) and more terms added by Amiram Eldar, Jun 22 2024

A079349 p-(p/5) where Fibonacci(p-(p/5)) is not the first Fibonacci number that p divides.

Original entry on oeis.org

14, 18, 28, 38, 40, 48, 54, 60, 74, 88, 98, 100, 108, 108, 114, 138, 138, 148, 150, 158, 174, 180, 194, 198, 198, 210, 228, 234, 240, 258, 264, 268, 278, 280, 294, 308, 314, 318, 330, 338, 348, 348, 354, 374, 388, 398, 400, 408, 420, 434, 448, 458, 460

Offset: 1

Jon Perry, Jan 04 2003

nonn

			A079348(1) = 13, (13/5) = -1, hence a(1) = 14.

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A079346, A079347, A079348.

quad5(x)=if (x%5>1 && x%5<4,-1,1);
forprime (p=7,500, wss=p-quad5(p); for (n=1, wss,if (fibonacci(n)%p==0,if (n

Offset corrected by Amiram Eldar, Jun 22 2024

cp's OEIS Frontend

A079346 Primes p such that F(p-(p/5)) is the first Fibonacci number that p divides.

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A079347 Fibonacci(p-(p/5)) is the first Fibonacci number that p divides and this is p-(p/5).

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A079349 p-(p/5) where Fibonacci(p-(p/5)) is not the first Fibonacci number that p divides.

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Author

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PARI

Extensions