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 A331995 #6 Feb 08 2020 08:16:09 %S A331995 1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27, %T A331995 28,29,31,32,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,52,53,54, %U A331995 56,57,58,59,61,62,63,64,65,67,68,69,70,71,72,73,74,76 %N A331995 Numbers with at most one distinct prime prime index. %C A331995 A prime index of n is a number m such that prime(m) divides n. The multiset of prime indices of n is row n of A112798. %e A331995 The sequence of terms together with their prime indices begins: %e A331995 1: {} 22: {1,5} 44: {1,1,5} %e A331995 2: {1} 23: {9} 46: {1,9} %e A331995 3: {2} 24: {1,1,1,2} 47: {15} %e A331995 4: {1,1} 25: {3,3} 48: {1,1,1,1,2} %e A331995 5: {3} 26: {1,6} 49: {4,4} %e A331995 6: {1,2} 27: {2,2,2} 50: {1,3,3} %e A331995 7: {4} 28: {1,1,4} 52: {1,1,6} %e A331995 8: {1,1,1} 29: {10} 53: {16} %e A331995 9: {2,2} 31: {11} 54: {1,2,2,2} %e A331995 10: {1,3} 32: {1,1,1,1,1} 56: {1,1,1,4} %e A331995 11: {5} 34: {1,7} 57: {2,8} %e A331995 12: {1,1,2} 35: {3,4} 58: {1,10} %e A331995 13: {6} 36: {1,1,2,2} 59: {17} %e A331995 14: {1,4} 37: {12} 61: {18} %e A331995 16: {1,1,1,1} 38: {1,8} 62: {1,11} %e A331995 17: {7} 39: {2,6} 63: {2,2,4} %e A331995 18: {1,2,2} 40: {1,1,1,3} 64: {1,1,1,1,1,1} %e A331995 19: {8} 41: {13} 65: {3,6} %e A331995 20: {1,1,3} 42: {1,2,4} 67: {19} %e A331995 21: {2,4} 43: {14} 68: {1,1,7} %t A331995 Select[Range[100],Count[PrimePi/@First/@FactorInteger[#],_?PrimeQ]<=1&] %Y A331995 These are numbers n such that A279952(n) <= 1. %Y A331995 Prime-indexed primes are A006450, with products A076610. %Y A331995 Numbers whose prime indices are not all prime are A330945. %Y A331995 Numbers with at least one prime prime index are A331386. %Y A331995 The set S of numbers with at most one prime index in S are A331784. %Y A331995 The set S of numbers with at most one distinct prime index in S are A331912. %Y A331995 Numbers with at most one prime prime index are A331914. %Y A331995 Numbers with exactly one prime prime index are A331915. %Y A331995 Numbers with exactly one distinct prime prime index are A331916. %Y A331995 Cf. A000040, A000720, A001221, A007097, A007821, A112798, A257994, A320628, A330944, A331785, A331912, A331913. %K A331995 nonn %O A331995 1,2 %A A331995 _Gus Wiseman_, Feb 08 2020