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Search: id:A114895
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| A114895 |
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Increasing sequence of primes such that sum of any two neighbor terms is a prime power (power of prime). |
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+0
1
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| 2, 3, 5, 11, 53, 971, 15413, 50123, 4144181, 17175725003, 51543751733, 223334155211, 77371252455336043847040053, 5070525029660462269942965781451
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The next term has 117 digits:
157608024785577916849116160400574455220318957081861786671793173616982\
887085988842445651994494510002100956568995445813.
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FORMULA
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a(n)+a(n-1)=p^m, where p is prime; starting with n=3 p=2.
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EXAMPLE
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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.
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CROSSREFS
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Adjacent sequences: A114892 A114893 A114894 this_sequence A114896 A114897 A114898
Sequence in context: A109462 A000905 A065296 this_sequence A083685 A087524 A088053
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KEYWORD
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more,nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Jan 05 2006
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