A156314 Smallest prime p such that p mod prime(k+1) = prime(k) for exactly n distinct k.

2, 5, 23, 47, 283, 557, 5147, 2273, 12899, 103703, 146417, 3369869, 5037233, 71067323, 6484133

Offset

0,1

Comments

A156311(A049084(a(n)))=n and A156311(m)<n for m < A049084(a(n)).

a(15) > 10^8. [From Donovan Johnson, Jul 02 2010]

Links

Table of n, a(n) for n=0..14.

Example

a(9) = 103703 = A000040(9910), A156311(9910) = 9:
1: 2 + 3*34567 = prime(1) + prime(2)*34567 = 103703,
2: 3 + 5*20740 = prime(2) + prime(3)*20740 = 103703,
3: 5 + 7*14814 = prime(3) + prime(4)*14814 = 103703,
4: 19 + 23*4508 = prime(8) + prime(9)*4508 = 103703,
5: 131 + 137*756 = prime(32) + prime(33)*756 = 103703,
6: 163 + 167*620 = prime(38) + prime(39)*620 = 103703,
7: 181 + 191*542 = prime(42) + prime(43)*542 = 103703,
8: 751 + 757*136 = prime(133) + prime(134)*136 = 103703,
9: 20731 + 20743*4 = prime(2334) + prime(2335)*4 = 103703.

Crossrefs

A156312.

Sequence in context: A126975 A175444 A233443 * A308055 A173396 A023186

Adjacent sequences: A156311 A156312 A156313 * A156315 A156316 A156317

Keyword

more,nonn

Author

Reinhard Zumkeller, Feb 07 2009

Extensions

a(10)-a(14) from Donovan Johnson, Jul 02 2010

Status

approved