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A368732 Primes whose index is one, another prime number, or a semiprime. 3

%I #5 Jan 08 2024 14:30:28

%S 2,3,5,7,11,13,17,23,29,31,41,43,47,59,67,73,79,83,97,101,109,127,137,

%T 139,149,157,163,167,179,191,199,211,227,233,241,257,269,271,277,283,

%U 293,313,331,347,353,367,373,389,401,421,431,439,443,449,461,467,487

%N Primes whose index is one, another prime number, or a semiprime.

%t Prime/@Select[Range[100],PrimeOmega[#]<=2&]

%Y For just primes we have A006450, products A076610, strict A302590.

%Y These indices are A037143.

%Y For just semiprimes we have A106349, products A339112, strict A340020.

%Y Products of these primes are A368728, odd A368729, odd strict A340019.

%Y Products of the complementary primes are A368833.

%Y A000607 counts partitions into primes, with ones allowed A034891.

%Y A001358 lists semiprimes, squarefree A006881.

%Y A056239 adds up prime indices, row sums of A112798.

%Y A101048 counts partitions into semiprimes.

%Y A322551 lists primes of squarefree semiprime index.

%Y Cf. A000040, A000720, A001222, A003963, A005117, A302242, A309356, A320628, A320911, A320912, A339113.

%K nonn

%O 1,1

%A _Gus Wiseman_, Jan 08 2024

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Last modified August 30 18:13 EDT 2024. Contains 375545 sequences. (Running on oeis4.)