%I #8 Dec 20 2023 14:55:39
%S 5,13,23,31,47,53,73,157,173,211,233,257,263,353,373,563,593,607,619,
%T 647,653,733,947,977,1069,1097,1103,1123,1187,1223,1283,1367,1433,
%U 1453,1459,1493,1499,1511,1613,1709,1747,1753,1759,1789,1889,1907,2099,2161
%N Primes for which the level is equal to 1 in A117563.
%C This sequence is equal to 13, 31, A006562, A117876, A118467, ..., A125623, ... Let p(n) denote the n-th prime. If 2 p(n) - p(n+1) is a prime, say p(n-i) and if p(n) has a level 1 in A117563, then we say that p(n) has level(1,i). Primes of level (1,1) form the sequence A006562. 13 and 31 have a level 1 but not sublevel i.
%H Remi Eismann, <a href="/A125830/b125830.txt">Table of n, a(n) for n=1..10000</a>
%Y Cf. A006562, A117876, A118467, A125623, A119402, A118464, A125576.
%K nonn
%O 1,1
%A _RĂ©mi Eismann_, Feb 03 2007