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 A357175 #20 Nov 02 2022 07:52:34 %S A357175 29,41,101,137,229,281,349,439,617,641,643,739,821,823,853,967,1087, %T A357175 1423,1429,1447,1549,1579,1597,1693,1697,1783,1877,1999,2081,2131, %U A357175 2237,2239,2293,2377,2381,2539,2617,2657,2683,2693,2713,2749,2791,2801,3079,3319 %N A357175 Primes p such that the minimum of the number of divisors among the numbers between p and NextPrime(p) is a cube. %e A357175 349 is a term because up to the next prime 353, tau(350) = 12, tau(351) = 8, tau(352) = 12, thus the smallest tau(k) = 8 and 8 is a cube (2^3). %e A357175 379 is prime but not a term because up to the next prime 383, tau(380) = 12, tau(381) = 4, tau(382) = 4, thus the smallest tau(k) is 4 and 4 is not a cube. %o A357175 (PARI) isok(p)=ispower(vecmin(apply(numdiv, [p+1..nextprime(p+1)-1])), 3); %o A357175 forprime(p=3, 10000, if(isok(p), print1(p", "))) %Y A357175 Cf. A000005, A000040, A000578. A061112. %Y A357175 Cf. A353284, A353285, A353286, A356833, A357170. %K A357175 nonn,easy %O A357175 1,1 %A A357175 _Claude H. R. Dequatre_, Sep 16 2022