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Search: id:A154275
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| A154275 |
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Primes with prime = abs(sum of digits of prime(n)-sum of digits of n) |
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+0
1
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| 5, 7, 11, 13, 19, 31, 37, 43, 47, 61, 67, 73, 89, 103, 107, 113, 137, 151, 157, 167, 173, 193, 211, 223, 227, 233, 239, 269, 271, 277, 281, 311, 353, 373, 379, 401, 409, 419, 421, 431, 433, 439, 443, 449, 467, 487, 503, 509, 571, 599, 601, 631, 641, 647, 653
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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If 151=prime(n=36) and abs(1+5+1-(3+6))=abs(7-9)=abs(-2)=2(prime), then 151=a(16). If 157=prime(n=17) and abs(1+5+7-(3+7))=abs(13-10)=abs(3)=3(prime), then 157=a(17), etc.
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MAPLE
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A007953 := proc(n) add(i, i=convert(n, base, 10)) ; end: A007605 := proc(n) A007953(ithprime(n)) ; end: A090431 := proc(n) A007953(n)-A007605(n) ; end: for n from 1 to 200 do q := abs(A090431(n)) ; if isprime(q) then p := ithprime(n) ; printf("%a, ", p) ; fi; od: [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 07 2009]
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CROSSREFS
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Cf. A000040.
Sequence in context: A088664 A023219 A045438 this_sequence A167460 A045439 A093078
Adjacent sequences: A154272 A154273 A154274 this_sequence A154276 A154277 A154278
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KEYWORD
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nonn
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AUTHOR
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Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jan 06 2009
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EXTENSIONS
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103, 113 etc. inserted by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 07 2009
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