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 A069496 Smaller member of a twin prime pair with a square sum. 14
 17, 71, 881, 1151, 2591, 3527, 4049, 15137, 20807, 34847, 46817, 69191, 83231, 103967, 112337, 149057, 176417, 179999, 206081, 281249, 362951, 388961, 438047, 472391, 478241, 538721, 649799, 734471, 808991, 960497, 1080449, 1143071 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS All members of this sequence have digital root 8. - J. W. Helkenberg, Jul 24 2013 First bisection of A232878. - Gary Croft, Dec 05 2013 LINKS T. D. Noe, Table of n, a(n) for n = 1..10000 Author?, Title? (no longer exists) FORMULA a(n) = (A037072(n)-2)/2. a(n) = A118593(n) - 2. - Zerinvary Lajos, Jul 31 2006 EXAMPLE 71 is a term as the smaller member of the twin prime pair (71,73) as 71+73 = 144 = 12^2. MAPLE isa := n -> isprime(n) and isprime(n+2) and issqr(2*n+2): select(isa, [\$4..1000000]); # Peter Luschny, Jan 05 2020 MATHEMATICA First/@Select[Partition[Prime[Range[9*10^4]], 2, 1], Differences[#]=={2} && IntegerQ[Sqrt[Total[#]]] &] (* Jayanta Basu, May 26 2013 *) PROG (PARI) t(n, p=3) = {while( p+2 < (p=nextprime( p+1 )) || n-->0, ); p-2} for(n=1, 1e4, if(issquare(2*t(n)+2), print1(t(n), ", "))); \\ Altug Alkan, Mar 14 2016 CROSSREFS Cf. A118593, A232878. Sequence in context: A290243 A320895 A288748 * A047978 A050524 A214530 Adjacent sequences: A069493 A069494 A069495 * A069497 A069498 A069499 KEYWORD nonn AUTHOR Amarnath Murthy, Mar 30 2002 EXTENSIONS More terms from Sascha Kurz, Apr 01 2002 STATUS approved

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Last modified July 17 16:16 EDT 2024. Contains 374377 sequences. (Running on oeis4.)