A082533 Number of primes p such that p can be expressed as the sum of consecutive primes with largest prime in the sum = n-th prime.

1, 2, 1, 2, 2, 3, 3, 2, 3, 4, 2, 4, 4, 5, 5, 4, 2, 7, 4, 5, 4, 6, 6, 5, 6, 6, 6, 4, 3, 7, 6, 7, 5, 8, 3, 11, 11, 7, 12, 10, 3, 9, 8, 10, 7, 9, 11, 8, 11, 11, 8, 10, 8, 12, 6, 3, 6, 3, 6, 6, 9, 6, 5, 3, 5, 5, 7, 13, 7, 9, 13, 9, 5, 13, 12, 16, 12, 12, 15, 16, 11, 14, 8, 11, 15, 11, 15, 13, 12, 13, 13

Offset: 1

Author

Naohiro Nomoto, May 01 2003

Keywords

• easy
• nonn

Examples

			For n=10; 29 is the 10th prime. 29=29, 71=19+23+29, 101=13+17+19+23+29, 127=3+5+7+11+13+17+19+23+29. 29 and 71,101,127 are primes. so a(10)=4.
		

Programs

Mathematica

Table[Length[Select[Accumulate[Reverse[Table[Prime[i], {i, n}]]], PrimeQ]], {n, 91}] (* Jayanta Basu, Apr 21 2013 *)