A082534 Greatest prime p such that p can be expressed as the sum of consecutive primes with largest prime in the sum = n-th prime.

2, 5, 5, 17, 23, 41, 53, 67, 83, 127, 83, 197, 233, 281, 311, 379, 311, 499, 563, 479, 431, 733, 857, 953, 1019, 1151, 1259, 1361, 1439, 1583, 1523, 1823, 1607, 2099, 1637, 2417, 2579, 2719, 2909, 2927, 3137, 3389, 3257, 3821, 3527, 4217, 4421, 4651, 4871

Offset: 1

Author

Naohiro Nomoto, May 02 2003

Keywords

• easy
• nonn

Examples

			For n=10; 29 is the 10th prime, largest prime in the sum = 29. 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. 127 is the greatest prime, so a(10)=127.
		

Links

• Donovan Johnson, Table of n, a(n) for n = 1..1000

Programs

PARI

for(n=1, 1000, s=0; forstep(j=n, 1, -1, s=s+prime(j); if(isprime(s), p=s)); write("b082534.txt", n " " p)) /* Donovan Johnson, Apr 10 2013 */