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A006055
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Primes with consecutive (ascending) digits.
(Formerly M0679)
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21
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2, 3, 5, 7, 23, 67, 89, 4567, 78901, 678901, 23456789, 45678901, 9012345678901, 789012345678901, 56789012345678901234567890123, 90123456789012345678901234567, 678901234567890123456789012345678901
(list;
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refs;
listen;
history;
text;
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OFFSET
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1,1
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REFERENCES
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J. S. Madachy, Consecutive-digit primes - again, J. Rec. Math., 5 (No. 4, 1972), 253-254.
Thomas E. Moore, A Note on the Distribution of Primes in Arithmetic Progressions, J. Rec. Math., 5 (1972), 253-254.
R. C. Schroeppel, personal communication, 1991.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
D. Zwillinger, Consecutive-Digit Primes - In Different Bases, J. Rec. Math., 10 (1972), 32-33.
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LINKS
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Paul Tek, Table of n, a(n) for n = 1..36
Eric Weisstein's World of Mathematics, Prime Number.
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MATHEMATICA
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f[n_] := Block[{u = Range@n, t = Table[1, {n}]}, Select[ Drop[ Union@ Flatten@ Table[ FromDigits[ Mod[u + i*t, 10]], {i, 10}], 2], PrimeQ@# &]]; Array[f, 35] // Flatten (* Robert G. Wilson v, Jul 05 2006 *)
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CROSSREFS
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Cf. A052016, A052017, A048398, A120804, A120805.
Sequence in context: A056041 A083017 A006510 * A052017 A277575 A289754
Adjacent sequences: A006052 A006053 A006054 * A006056 A006057 A006058
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KEYWORD
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nonn,base
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AUTHOR
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N. J. A. Sloane, Richard Schroeppel
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EXTENSIONS
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a(17) from Robert G. Wilson v, Jul 05 2006
Entry revised by N. J. A. Sloane, Feb 07 2007
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STATUS
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approved
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