A078874 - OEIS

A078874

The 6-tuples (d1,d2,d3,d4,d5,d6) with elements in {2,4,6} are listed in lexicographic order; for each 6-tuple, this sequence lists the smallest prime p >= 7 such that the differences between the 7 consecutive primes starting with p are (d1,d2,d3,d4,d5,d6), if such a prime exists.

%I #5 Jun 24 2014 01:08:33

%S 11,17,4637,41,5639,29,59,130631,78779,603899,149,3299,13,37,1597,19,

%T 5839,135589,71329,43,302563,17467,1601,23,53,5843,326993,593,135593,

%U 71333,44257,31,61,678631,32353,435553,6268957,351031,47,41597,587,19457,2671,246907,151,251,179801,3301

%N The 6-tuples (d1,d2,d3,d4,d5,d6) with elements in {2,4,6} are listed in lexicographic order; for each 6-tuple, this sequence lists the smallest prime p >= 7 such that the differences between the 7 consecutive primes starting with p are (d1,d2,d3,d4,d5,d6), if such a prime exists.

%C The 48 6-tuples for which p exists are listed, in decimal form, in A078871.

%e The term 151 corresponds to the 6-tuple (6,6,4,6,6,2): 151, 157, 163, 167, 173, 179, 181 are consecutive primes.

%Y The 6-tuples are in A078871. The same primes, in increasing order, are in A078875. The analogous sequences for quadruples and quintuples are in A078866 and A078872. Cf. A001223.

%K nonn,fini,full

%O 1,1

%A _Labos Elemer_, Dec 20 2002

%E Edited by _Dean Hickerson_, Dec 21 2002