
COMMENTS

PrimePi[ a(n) ] = {4, 7, 24, 200, 724, 1361, 1389, 1503, 2578, 3868, 5368, 5400, 11814, 31200, ...}.
3 terms found by David Broadhurst in Nov 2006: {36479, 52567, 52919}.
Only 2 terms found by Jean Penne in Nov 2006 belong to a(n): {125929, 365689}.
5 other numbers found by Jean Penne in Nov 2006 belong to related sequence of primes p such that (2^p  2^((p+1)/2) + 1)/5 is prime: {221891, 235099, 305867, 311027, 333227}.
All terms belong to A124112 = {5, 7, 9, 11, 13, 17, 29, 43, 53, 89, 283, 557, 563, 613, 691, 1223, 2731, ...} (numbers k such that ((1+i)^k+1)/(2+i) is a Gaussian prime).
The terms 1127239 and 1148729 were found by Borys Jaworski in 20062007.  Alexander Adamchuk, Jun 20 2007
