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A119753 Prime numbers in their order of occurrence and generated by A119751, the sequence of odd numbers defined recursively by a(1)=1 and a(i) + a(j) + 1 is prime for all i,j. 4
3, 5, 7, 11, 13, 19, 71, 73, 79, 139, 431, 433, 439, 499, 859, 4091, 4093, 4099, 4159, 4519, 8179, 86531, 86533, 86539, 86599, 86959, 90619, 173059, 513101, 513103, 513109, 513169, 513529, 517189, 599629, 1026199, 913571, 913573, 913579, 913639 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..40.

FORMULA

Let a(n) be the sequence defined recursively by a(1)=1 and a(n) is the first odd number greater than a(n-1) such that 2*a(n)+1 is prime and a(i) + a(n) + 1 is prime for all i<=n-1. Then p(n) is the n-th prime in the lexicographic order a(i) + a(j) + 1, i>=j.

EXAMPLE

a(1)=1, a(2)=3 so 1+1+1=3, 1+3+1=5, 3+3+1=7 so the first three elements are 3, 5, 7.

MAPLE

OP:=[1]: P:=[3]: for w to 1 do for n from 0 to 12^6 do s:=6*n+3; Q:=map(z->s+z+1, [op(OP), s]); if andmap(isprime, Q) then OP:=[op(OP), s]; P:=[op(P), op(Q)]; print(s); print(Q); fi; od od; OP; P;

CROSSREFS

Sequence in context: A020587 A249077 A126960 * A169969 A291175 A174350

Adjacent sequences:  A119750 A119751 A119752 * A119754 A119755 A119756

KEYWORD

nonn

AUTHOR

Walter Kehowski, Jun 17 2006, Jun 19 2006, Jun 25 2006

STATUS

approved

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Last modified October 20 10:45 EDT 2019. Contains 328257 sequences. (Running on oeis4.)