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Search: id:A006378
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| A006378 |
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Prime self (or Colombian) numbers: primes not expressible as the sum of an integer and its digit sum.
(Formerly M2427)
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+0
6
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| 3, 5, 7, 31, 53, 97, 211, 233, 277, 367, 389, 457, 479, 547, 569, 613, 659, 727, 839, 883, 929, 1021, 1087, 1109, 1223, 1289, 1447, 1559, 1627, 1693, 1783, 1873, 2099, 2213, 2347, 2437, 2459, 2503, 2549, 2593, 2617, 2683, 2729, 2819, 2953, 3023, 3067
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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A107740(a(n)) = 0.
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
M. Gardner, Time Travel and Other Mathematical Bewilderments. Freeman, NY, 1988, p. 116.
D. R. Kaprekar, Puzzles of the Self-Numbers. 311 Devlali Camp, Devlali, India, 1959.
D. R. Kaprekar, The Mathematics of the New Self Numbers (Part V). 311 Devlali Camp, Devlali, India, 1967.
B. Recaman, Problem E2408, Amer. Math. Monthly, 81 (1974), p. 407.
J. O. Shallit, personal communication.
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CROSSREFS
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Cf. A003052, A007953, A047791, A048521.
Cf. A062028.
Sequence in context: A106920 A060273 A124077 this_sequence A162714 A002396 A029508
Adjacent sequences: A006375 A006376 A006377 this_sequence A006379 A006380 A006381
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KEYWORD
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nonn,base,nice,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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