A119403 Primes p=prime(i) of level (1,10), i.e., such that A118534(i)=prime(i-10).

745757, 1103639, 1583369, 1895359, 2124049, 3327419, 4234537, 4437779, 5071973, 6287647, 7702573, 8470927, 8675923, 9493151, 9750079, 10868203, 11213843, 14244173, 14796253, 14978893, 15611909, 16489273, 17528681, 18280771, 19125163, 19403831, 19631411, 21975167

Offset: 1

Author

Rémi Eismann and Fabien Sibenaler, Jul 25 2006

Keywords

• nonn

Comments

This subsequence of A125830 and of A162174 gives primes of level (1,10): If prime(i) has level 1 in A117563 and 2*prime(i) - prime(i+1) = prime(i-k), then we say that prime(i) has level (1,k).

Examples

			prime(353166) - prime(353165) = 5072057 - 5071973 = 5071973 - 5071889 = prime(353165) - prime(353165-10) and prime(353165) has level 1 in A117563, so prime(353165)=5071973 has level (1,10).
		

Links

• Fabien Sibenaler, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A117078, A117563, A006562 (primes of level (1,1)), A117876, A118464, A118467.

Programs

PARI

lista(nn) = my(c=11, v=primes(11)); forprime(p=37, nn, if(2*v[c]-p==v[c=c%11+1], print1(precprime(p-1), ", ")); v[c]=p); \\ Jinyuan Wang, Jun 18 2021

Extensions

More terms from Fabien Sibenaler, Oct 20 2006

Definition and comment reworded following suggestions from the authors. - M. F. Hasler, Nov 30 2009