Revision History for A278699
(Underlined text is an addition;
strikethrough text is a deletion.)
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#9 by N. J. A. Sloane at Sat Dec 03 13:10:32 EST 2016
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#8 by Michael De Vlieger at Thu Dec 01 10:02:01 EST 2016
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#7 by Michael De Vlieger at Thu Dec 01 10:01:56 EST 2016
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| MATHEMATICA
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With[{b = 4}, Select[Prime@ Range[10^3], Function[k, Times @@ Boole@ Map[PrimeQ@ FromDigits[Take[k, -#], b] &, Range[Length@ k - 1]] == 1]@ IntegerDigits[#, b] &]] (* Michael De Vlieger, Dec 01 2016 *)
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proposed
editing
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#6 by Jon E. Schoenfield at Sat Nov 26 16:11:11 EST 2016
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#5 by Jon E. Schoenfield at Sat Nov 26 16:10:46 EST 2016
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| NAME
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Primes p such that every suffix of the base -4 representation of p is a prime.
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| STATUS
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proposed
editing
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#4 by Randy L. Ekl at Sat Nov 26 11:44:33 EST 2016
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#3 by Randy L. Ekl at Sat Nov 26 11:44:24 EST 2016
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| DATA
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2, 3, 7, 11, 19, 23, 43, 59, 67, 71, 83, 107, 131, 139, 151, 199, 211, 251, 263, 467, 523, 571, 619, 643, 787, 811, 827, 839, 907, 919, 967, 1019, 1031, 1091, 1163, 1223, 1667, 1811, 1931, 2131, 2179, 2311, 2887, 3067, 3079, 3083, 3203, 3271, 3323, 3539, 3643, 3691, 3911, 4091, 4099, 4139, 5003, 6983, 8263, 8443, 9283, 9859, 11731, 12347, 12487, 12539, 12907, 13099, 13127, 13451, 14419, 15559, 16427, 16451, 17027, 17291, 17351, 19463
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#2 by Randy L. Ekl at Sat Nov 26 11:43:34 EST 2016
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| NAME
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allocated for Randy L. Ekl
Primes p such that every suffix of the base 4 representation of p is a prime.
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| DATA
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2, 3, 7, 11, 19, 23, 43, 59, 67, 71, 83, 107, 131, 139, 151, 199, 211, 251, 263, 467, 523, 571, 619, 643, 787, 811, 827, 839, 907, 919, 967, 1019, 1031, 1091, 1163, 1223, 1667, 1811, 1931, 2131, 2179, 2311, 2887, 3067, 3079, 3083, 3203, 3271, 3323, 3539, 3643, 3691, 3911, 4091, 4099, 4139, 5003, 6983, 8263, 8443, 9283, 9859, 11731, 12347, 12487, 12539, 12907, 13099, 13127, 13451, 14419, 15559, 16427, 16451, 17027, 17291, 17351, 19463
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| OFFSET
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1,1
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| COMMENTS
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All numbers in the sequence are of the form 4n+3, except the number 2.
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| EXAMPLE
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23 is in the sequence, since 23 is prime, and the suffixes of 23 (113 base 4), 13 base 4 (7 base 10) and 3, are all prime.
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| KEYWORD
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allocated
nonn,base
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| AUTHOR
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Randy L. Ekl, Nov 26 2016
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| STATUS
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approved
editing
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#1 by Randy L. Ekl at Sat Nov 26 11:43:34 EST 2016
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| NAME
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allocated for Randy L. Ekl
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| KEYWORD
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allocated
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| STATUS
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approved
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