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 A261659 a(n) = sqrt(A261655(n)/144) for n>1. 1
 1, 3, 5, 35, 33, 144, 80, 137, 285, 363, 387, 351, 204, 935, 225, 241, 289, 665, 1210, 310, 710, 324, 327, 685, 945, 749, 805, 479, 2091, 1260, 1169, 628, 2156, 654, 2355, 1827, 1545, 2181, 1499, 761, 3126, 1575, 2364, 1770, 1452, 1455, 2827, 1739, 3390, 4641 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,2 COMMENTS The primes of the sequence are 3, 5, 137, 241, 479, 761, 1499, ... The squares of the sequence are 1, 144, 225, 289, 324, ... LINKS Table of n, a(n) for n=2..51. EXAMPLE a(3)=3 because sqrt(A261655(3)/144) = sqrt(1296/144) = sqrt(9)=3. MAPLE q:=83:for n from 2 to 10^7 do:p:=n^2+2:if isprime(p) then x:=p-q:q:=p: z:=sqrt(x):if z=floor(z) then printf(`%d, `, x/144):else fi:fi:od: CROSSREFS Cf. A261655: squares equal to the difference between two successive primes of the form k^2+2. Sequence in context: A068111 A162444 A305858 * A346715 A259853 A052468 Adjacent sequences: A261656 A261657 A261658 * A261660 A261661 A261662 KEYWORD nonn AUTHOR Michel Lagneau, Aug 28 2015 STATUS approved

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Last modified August 5 02:37 EDT 2024. Contains 374935 sequences. (Running on oeis4.)