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A259187
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Primes p such that both p and p^2 are distinct-digit numbers.
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1
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2, 3, 5, 7, 13, 17, 19, 23, 29, 31, 37, 43, 53, 59, 61, 71, 73, 79, 89, 137, 179, 193, 269, 281, 367, 397, 463, 487, 509, 571, 593, 647, 709, 829, 839, 1307, 1873, 2069, 2731, 2801, 3041, 4157, 4967, 4987, 6043, 7549, 7621, 8623, 21397
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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Corresponding squares are 4, 9, 25, 49, 169, 289, 361, 529, 841, 961, 1369, 1849, 2809, 3481, 3721, 5041, 5329, 6241, 7921, 18769, 32041, 37249, 72361, 78961, 134689, 157609, 214369, 237169, 259081, 326041, 351649, 418609, 502681, 687241, 703921, 1708249, 3508129, 4280761, 7458361, 7845601, 9247681, 17280649, 24671089, 24870169, 36517849, 56987401, 58079641, 74356129, 457831609 (subsequence of A078255).
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LINKS
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Table of n, a(n) for n=1..49.
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MATHEMATICA
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Select[Prime[Range[2500]], Max[DigitCount[#]]<2&&Max[DigitCount[#^2]]<2&] (* Harvey P. Dale, May 25 2020 *)
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CROSSREFS
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Subsequence of A029743 and of A119509. Cf. A078255.
Sequence in context: A040169 A040165 A162950 * A040972 A040161 A175438
Adjacent sequences: A259184 A259185 A259186 * A259188 A259189 A259190
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KEYWORD
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base,nonn,fini,full
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AUTHOR
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Zak Seidov, Jun 20 2015
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STATUS
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approved
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