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A155913
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Primes such that sum of digits - final digit = prime.
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0
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23, 29, 31, 37, 53, 59, 71, 73, 79, 113, 127, 149, 163, 167, 211, 233, 239, 251, 257, 293, 307, 347, 349, 383, 389, 419, 431, 433, 439, 479, 491, 499, 503, 509, 521, 523, 563, 569, 587, 613, 617, 619, 653, 659, 673, 677, 701, 709, 743, 761, 769, 839, 853, 857
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| 113 is in sequence because it is prime and its sum of digits (1+1+3=5) - final digit(3) is prime(5-3=2).
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MAPLE
| A007953 := proc(n) add(d, d=convert(n, base, 10)) ; end: A010879 := proc(n) n mod 10 ; end: for i from 1 to 300 do p := ithprime(i) ; if isprime(A007953(p)-A010879(p)) then printf("%d, ", p) ; fi; od: [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 31 2009]
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MATHEMATICA
| Select[Prime[Range[200]], PrimeQ[Total[IntegerDigits[#]] - Last[IntegerDigits[#]]] &] (* From Vladimir Joseph Stephan Orlovsky, Feb 15 2012 *)
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CROSSREFS
| Cf. A000040.
Sequence in context: A049483 A112681 A078500 * A153631 A082943 A061754
Adjacent sequences: A155910 A155911 A155912 * A155914 A155915 A155916
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KEYWORD
| nonn,base,changed
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AUTHOR
| Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jan 30 2009
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EXTENSIONS
| Corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 31 2009
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