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A244846 Least triangular number t>p such that q=p+t is also prime, where p=prime(n). 0

%I #8 Nov 19 2014 09:33:43

%S 3,10,6,10,36,28,36,28,36,78,36,66,66,66,66,78,78,66,190,78,78,120,

%T 210,300,136,210,120,120,120,120,136,300,210,210,210,406,190,190,276,

%U 210,210,276,210,378,630,210,276,276,276,378,276,378,300,630,300,300,300,276,300,378,378,300,630,528,378,630,378,406,630,378,528,528,406,378,528,528,630

%N Least triangular number t>p such that q=p+t is also prime, where p=prime(n).

%C Corresponding values of primes q: 5,13,11,17,47,41,53,47,59,107,67,103,107,...

%C Among first 10000 terms, maximal value of q = 238859 is at n=9924.

%C Indices, i, of triangulars t: 2,4,3,4,8,7,8,7,8,12,8,11,11,11,11,12,12.,...

%C Among first 10000 terms, maximal value of i = 519 are for n = 8782, 9074, 9719, 9912, 9924.

%e q=2+3=5, q=3+10=13, q=5+6=11 all prime.

%Y Cf. A000040, A000217.

%K nonn

%O 1,1

%A _Zak Seidov_, Nov 12 2014

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)