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A006378 Prime self (or Colombian) numbers: primes not expressible as the sum of an integer and its digit sum.
(Formerly M2427)
+0
6
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)
OFFSET

1,1

COMMENT

A107740(a(n)) = 0.

REFERENCES

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.

CROSSREFS

Cf. A003052, A007953, A047791, A048521.

Cf. A062028.

Sequence in context: A106920 A060273 A124077 this_sequence A002396 A029508 A095714

Adjacent sequences: A006375 A006376 A006377 this_sequence A006379 A006380 A006381

KEYWORD

nonn,base,nice,easy

AUTHOR

njas

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Last modified September 5 01:44 EDT 2008. Contains 143476 sequences.


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