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a(n) is the smallest number which is simultaneously a prime, the sum of 2 distinct primes, the sum of 3 distinct primes, ... and the sum of n distinct primes.
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%I #10 Oct 19 2017 03:14:27

%S 2,5,19,31,43,61,103,103,139,151,199,229,283,313,421,421,523,523,643,

%T 661,811,811,1021,1021,1231,1231,1429,1429,1609,1621,1873,1873,2143,

%U 2239,2551,2551,2791,2791,3121,3121,3463,3463,3853,3853,4243,4261,4723

%N a(n) is the smallest number which is simultaneously a prime, the sum of 2 distinct primes, the sum of 3 distinct primes, ... and the sum of n distinct primes.

%e a(5)=43 because 43 = 41 + 2 = 31 + 7 + 5 = 31 + 7 + 3 + 2 = 17 + 11 + 7 + 5 + 3.

%K nonn

%O 1,1

%A _Jon Perry_, Jan 11 2004

%E Extended through a(5) by Gershon Bialer (gersh(AT)bialer.com), Jan 11 2004

%E Extended through a(18) by _Don Reble_, Jan 12 2004

%E Terms a(19) onwards from _Ray Chandler_, May 01 2007