A129386 Records in A129385.
2, 3, 7, 11, 19, 23, 43, 51, 57, 91, 119, 143, 167, 255, 263, 315, 355, 403, 475, 525, 579, 595, 611, 679, 691, 839
Offset: 1
Examples
As can be gathered from A129385, the first four records are A129385(0) = 2, A129385(1) = 3, A129385(15) = 7, A129385(23) = 11. Hence a(1) to a(4) are 2, 3, 7, 11.
Programs
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PARI
lista(nn) = {my(m, q, r); for(k=2, nn, if(k%4 && !(k%2 && isprime((k+1)/2)), q=4+k%2; while(!ispower(q, , &m) || !isprime((q+k)/2), q+=2); if(m>r, print1(m, ", "); r=m))); } \\ Jinyuan Wang, Dec 04 2020
Extensions
a(16) inserted by and a(19)-a(26) from Jinyuan Wang, Dec 04 2020