A114895 Increasing sequence of primes such that sum of any two neighbor terms is a prime power (power of prime).

2, 3, 5, 11, 53, 971, 15413, 50123, 4144181, 17175725003, 51543751733, 223334155211, 77371252455336043847040053, 5070525029660462269942965781451

Offset

1,1

Comments

The next term has 117 digits:

157608024785577916849116160400574455220318957081861786671793173616982\

887085988842445651994494510002100956568995445813.

Links

Table of n, a(n) for n=1..14.

Formula

a(n)+a(n-1)=p^m, where p is prime; starting with n=3 p=2.

Example

2+3=5^1, 5+11=2^4, 11+53=2^6, 53+971=2^10, 971+15413=2^14, 15413+50123=2^16, 50123+4144181=2^22, etc.

Crossrefs

Sequence in context: A357305 A000905 A065296 * A083685 A243755 A242334

Adjacent sequences: A114892 A114893 A114894 * A114896 A114897 A114898

Keyword

more,nonn

Author

Zak Seidov, Jan 05 2006

Status

approved