cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A092944 Group the natural numbers so that the n-th group contains n numbers whose sum as well as the group product + 1 is prime. Sequence contains the first member of the groups.

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%I A092944 #10 Apr 04 2015 21:58:26
%S A092944 2,1,3,5,11,15,20,27,36,44,54,64,76,89,102,117,132,149,166,184,204,
%T A092944 228,249,272,296,323,349,376,403,432,461,493,524,556,589,625,660,697,
%U A092944 737,775,814,855,898,943,987,1031,1076,1122,1169,1219,1269,1321,1373,1427
%N A092944 Group the natural numbers so that the n-th group contains n numbers whose sum as well as the group product + 1 is prime. Sequence contains the first member of the groups.
%C A092944 The n-th group is chosen so that it is lexicographically earliest.
%C A092944 First n-2 numbers are the least previously unused numbers.
%C A092944 The (n-1)st number is chosen with the additional condition that if the product is odd, the sum is also odd (to avoid an impossible situation in picking the n-th number).
%C A092944 The n-th number is chosen as the least unused number that meets the two prime conditions.
%C A092944 In the 3rd group, 6 is selected as the 2nd number rather than 5, else no 3rd number could be found to meet the prime conditions.
%e A092944 Table begins:
%e A092944 2
%e A092944 1,4
%e A092944 3,6,10
%e A092944 5,7,8,9
%e A092944 11,12,13,14,23
%e A092944 15,16,17,18,19,28
%Y A092944 Cf. A092945, A092946, A092947.
%K A092944 nonn,tabl
%O A092944 1,1
%A A092944 _Amarnath Murthy_, Mar 23 2004
%E A092944 Edited and extended by _Ray Chandler_, May 07 2008