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A062339
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Primes whose sum of digits is 4.
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16
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13, 31, 103, 211, 1021, 1201, 2011, 3001, 10111, 20011, 20101, 21001, 100003, 102001, 1000003, 1011001, 1020001, 1100101, 2100001, 10010101, 10100011, 20001001, 30000001, 101001001, 200001001, 1000000021, 1000001011, 1000010101, 1000020001, 1000200001, 1002000001, 1010000011
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| This is a subsequence of A062338. Is this sequence (and its brothers A062337, A062341 and A062343) infinite?
10^A049054(m)+3 and 3*10^A056807(m)+1 are subsequences. A107715 (primes containing only digits from set {0,1,2,3}) is a supersequence. Terms not containing the digit 3 are either terms of A020449 (primes that contain digits 0 and 1 only) or of A106100 (primes with maximal digit 2) - and thus terms of these sequences' union A036953 (primes containing only digits from set {0,1,2}). - Rick L. Shepherd, May 23 2005
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..1000
Amin Witno, Numbers which factor as their digital sum times a prime, International Journal of Open Problems in Computer Science and Mathematics 3:2 (2010), pp. 132-136.
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EXAMPLE
| 3001 is a prime with sum of digits = 4, hence belongs to the sequence.
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PROG
| (PARI) for(a=1, 20, for(b=0, a, for(c=0, b, if(isprime(k=10^a+10^b+10^c+1), print1(k", "))))) \\ Charles R Greathouse IV, Jul 26 2011
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CROSSREFS
| Subsequence of A107288. [From Zak Seidov, Oct 29 2009]
Cf. A062337, A062341, A062343, A049054, A056807, A107715, A020449, A106100, A036953, A069663, A069664.
Sequence in context: A095379 A160772 A039403 * A043226 A044006 A179034
Adjacent sequences: A062336 A062337 A062338 * A062340 A062341 A062342
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KEYWORD
| nonn,base
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 21 2001
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EXTENSIONS
| Corrected and extended by Larry Reeves (larryr(AT)acm.org), Jul 06 2001
More terms from Rick L. Shepherd (rshepherd2(AT)hotmail.com), May 23 2005
More terms from Lekraj Beedassy (blekraj(AT)yahoo.com), Dec 19 2007
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