A090700 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.

2, 5, 19, 31, 43, 61, 103, 103, 139, 151, 199, 229, 283, 313, 421, 421, 523, 523, 643, 661, 811, 811, 1021, 1021, 1231, 1231, 1429, 1429, 1609, 1621, 1873, 1873, 2143, 2239, 2551, 2551, 2791, 2791, 3121, 3121, 3463, 3463, 3853, 3853, 4243, 4261, 4723

Offset: 1

Author

Jon Perry, Jan 11 2004

Keywords

• nonn
• changed

Examples

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

Links

• David A. Corneth, Table of n, a(n) for n = 1..570

Extensions

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

Extended through a(18) by Don Reble, Jan 12 2004

Terms a(19) onwards from Ray Chandler, May 01 2007