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A344989 Smallest number whose number of partitions into n distinct primes is n, or zero if there are no such partitions. 1

%I #20 Aug 05 2023 21:36:04

%S 2,16,26,33,55,59,0,0,124,159,233,227,276,0,372,480,0,0,0,752

%N Smallest number whose number of partitions into n distinct primes is n, or zero if there are no such partitions.

%H Chris K. Caldwell and G. L. Honaker, Jr., <a href="https://primes.utm.edu/curios/cpage/41746.html">Prime Curios! 233</a>

%e a(2) = 16 because 16 is the smallest number whose number of partitions into 2 distinct primes is 2; 16 = 3+13 = 5+11.

%Y Cf. A364692 asks for the largest number with the same properties.

%Y Cf. A000586, A077914, A117929, A125688, A219180, A219198, A219199, A219200, A219201, A219202, A219203, A219204.

%K nonn,more

%O 1,1

%A _Metin Sariyar_, Jun 04 2021

%E a(12)-a(20) from _Alois P. Heinz_, Jun 04 2021

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Last modified May 20 21:47 EDT 2024. Contains 372720 sequences. (Running on oeis4.)