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A225077 Smaller of the two consecutive primes whose sum is a triangular number. 0
17, 37, 59, 103, 137, 149, 313, 467, 491, 883, 911, 1277, 1423, 1619, 1783, 2137, 2473, 2729, 4127, 4933, 5437, 5507, 6043, 6359, 10039, 10453, 11717, 13397, 15809, 17489, 20807, 21821, 23027, 27631, 28307, 28813, 29669, 33029, 36947, 39103, 44203, 48281 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..42.

FORMULA

a(n) + nextprime(a(n)) = A000217(A175132(n)).

MATHEMATICA

tri[n_] := IntegerQ[Sqrt[1 + 8 n]]; t = {}; p1 = 2; While[Length[t] < 50, p2 = NextPrime[p1]; If[tri[p1 + p2], AppendTo[t, p1]]; p1 = p2]; t (* T. D. Noe, May 28 2013 *)

CROSSREFS

Cf. A175132 (numbers n such that sum of two consecutive primes is triangular(n)).

Cf. A181902 and A154634 (average of two consecutive primes is a triangular number).

Cf. A075190 and A225195 (average of two consecutive primes is a square).

Cf. A074924 and A061275 (sum of two consecutive primes is a square).

Sequence in context: A165493 A295338 A059425 * A146328 A161549 A269788

Adjacent sequences:  A225074 A225075 A225076 * A225078 A225079 A225080

KEYWORD

nonn

AUTHOR

Alex Ratushnyak, May 28 2013

STATUS

approved

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Last modified August 20 14:06 EDT 2019. Contains 326152 sequences. (Running on oeis4.)