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Search: id:A062339
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| A062339 |
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Primes whose sum of digits is 4. |
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+0
12
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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, 1100010001, 2000000011, 2000001001, 2010000001, 10000001101
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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 (rshepherd2(AT)hotmail.com), May 23 2005
Primes p such that sum of digits -+1 is prime 3 or 5 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 28 2009]
Also, this is a subsequence of A107288. [From Zak Seidov (zakseidov(AT)yahoo.com), Oct 29 2009]
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
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EXAMPLE
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3001 is a prime with sum of digits = 4, hence belongs to the sequence.
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CROSSREFS
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Cf. A062337, A062341 and A062343.
Cf. A049054, A056807, A107715, A020449, A106100, A036953.
Cf. A069663, A069664.
Sequence in context: A095379 A160772 A039403 this_sequence A043226 A044006 A007628
Adjacent sequences: A062336 A062337 A062338 this_sequence A062340 A062341 A062342
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KEYWORD
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nonn,base
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 21 2001
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EXTENSIONS
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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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