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

1,1

Links

Table of n, a(n) for n=1..47.

Example

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

Crossrefs

Sequence in context: A184868 A077317 A092946 * A227632 A105889 A086085

Adjacent sequences: A090697 A090698 A090699 * A090701 A090702 A090703

Keyword

nonn

Author

Jon Perry, Jan 11 2004

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

Status

approved