A339096 Record values in A306400.
5, 7, 11, 23, 701, 3989, 4397, 5501, 7309, 9281, 10331, 11243, 12907, 16127, 27917, 39901, 43051, 44843, 48397, 66569, 70657
Offset: 1
Examples
a(3) = 11 is in the sequence because A306400(5) = 11 and A306400(k)<11 for k < 5.
Crossrefs
Cf. A306400.
Programs
-
Maple
g:= proc(p) local q; q:= 3: do q:= nextprime(q); if isprime(p+q^2-1) and isprime(p+q^2+1) then return q fi; od end proc: R:= NULL: count:= 0: w:= 0: for nn from 5 by 6 while count < 15 do if isprime(nn) then v:= g(nn); if v > w then count:= count+1; R:= R, v; w:= v; fi fi od: R; -
Mathematica
g[p_] := Module[{q}, q = 3; While[True, q = NextPrime[q]; If [PrimeQ[p + q^2 - 1] && PrimeQ[p + q^2 + 1], Return@q]]]; R = {}; count = 0; w = 0; For[nn = 5, count < 15, nn = nn + 6, If[PrimeQ[nn], v = g[nn]; If[v > w, count++; Print[count, " ", v]; R = Append[R, v]; w = v]]]; R (* Jean-François Alcover, Mar 07 2024, after Robert Israel *)
Extensions
a(16)-a(17) from Jinyuan Wang, Dec 04 2020
a(18)-a(21) from Chai Wah Wu, Jan 15 2021