A082539 Primes p such that there is no prime q, q < p with q+1 dividing p+1.

2, 3, 13, 37, 61, 73, 109, 157, 193, 229, 241, 277, 313, 337, 373, 397, 409, 421, 457, 541, 577, 613, 661, 673, 709, 733, 757, 829, 877, 997, 1009, 1033, 1069, 1093, 1117, 1129, 1153, 1201, 1213, 1237, 1249, 1297, 1321, 1381, 1453, 1489, 1597, 1621, 1657

Offset: 1

Author

Benoit Cloitre, May 11 2003

Keywords

• nonn

Comments

Contains A005383, primes p such that (p+1)/2 is prime. - T. D. Noe, Apr 28 2004

Links

• T. D. Noe, Table of n, a(n) for n=1..1000

Crossrefs

Cf. A005383, A049084, A084196, A084198, A084200.

Cf. A092307 (primes p such that there are no primes q, 3 < q < p, such that (q-1) divides (p-1)).

Programs

Mathematica

Select[Prime[Range[260]], AllTrue[Most[Divisors[# + 1]], !PrimeQ[#1 - 1] &] &] (* Amiram Eldar, Jun 06 2022 *)

Formula

A084196(A049084(a(n))) = 0.

Extensions

More terms from Reinhard Zumkeller, May 18 2003