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A196924 Smallest prime(k) such that prime(k+n) + prime(k) is a perfect square. 1
17, 5, 2, 3, 61, 7, 83, 2, 173, 29, 11, 43, 1019, 2, 89, 3, 83, 397, 11, 47, 2, 101, 3, 17, 131, 13, 167, 59, 7, 83, 5, 193, 73, 17, 233, 67, 179, 2, 29, 5, 167, 3, 83, 47, 17, 43, 2, 41, 293, 101, 5, 137, 53, 281, 773, 17, 857, 13, 41, 11, 383, 7, 439, 503 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..64.

EXAMPLE

a(5) = 61 is the smallest initial prime of a subset of 6 consecutive primes {61, 67, 71, 73, 79, 83} such that 83 + 61 = 144 = 12^2.

MAPLE

A196924:= proc(n)

for k from 1 do

if issqr(ithprime(k+n)+ithprime(k)) then

return ithprime(k);

end if;

end do:

end proc:

seq(A196924(n), n=1..80) ;

CROSSREFS

Cf. A000040, A196874, A196815.

Sequence in context: A040279 A070718 A040277 * A109215 A254070 A297982

Adjacent sequences:  A196921 A196922 A196923 * A196925 A196926 A196927

KEYWORD

nonn

AUTHOR

Michel Lagneau, Oct 07 2011

STATUS

approved

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Last modified June 22 01:32 EDT 2021. Contains 345367 sequences. (Running on oeis4.)