This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A088583 #9 Mar 26 2025 13:26:46 %S A088583 5,37,229,6373,30949,145637,13514981,4891490533,28831638239461, %T A088583 923485001094508397344997,1074600728546337044183267557, %U A088583 385383811277918317317596838657669349 %N A088583 Primes of the form n*x^n + (n-1)*x^(n-1) + . . . + x + 1 for x=4. %C A088583 Sum of reciprocals = 0.2315900030315841482180710713.. Are these primes infinite? %e A088583 2*4^2 + 4 + 1 = 37. %o A088583 (PARI) trajpolyn(n1,k) = { s=0; for(x1=0,n1, y1 = polypn2(k,x1); print1(y1","); s+=1.0/y1; ); print(); print(s) } %o A088583 polypn2(n,p) = { x=n; y=1; for(m=1,p, y=y+m*x^m; ); return(y) } %K A088583 nonn,more %O A088583 1,1 %A A088583 _Cino Hilliard_, Nov 20 2003