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Search: id:A138358
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| A138358 |
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List of triples of strictly nonpalindromic primes without an ordinary prime in between. |
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3
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| 137, 139, 149, 1433, 1439, 1447, 4337, 4339, 4349, 5297, 5303, 5309, 8287, 8291, 8293, 13049, 13063, 13093, 30293, 30307, 30313, 36007, 36011, 36013, 43391, 43397, 43399
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Up to 10^9 there are 2992 triples of strictly non-palindromic primes if the quadruples and quintuples are not counted.
For quadruples of this kind see: A138359
For quintuples of this kind see: A138360
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REFERENCES
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Karl Hovekamp, Palindromzahlen in adischen Zahlensystemen, 2004
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LINKS
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K. Hovekamp, Palindromic numbers in different bases.
K. Hovekamp, Strictly non-palindromic prime quintuple, quadruple and triple up to 1 billion
Wikipedia, Strictly non-palindromic numbers.
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FORMULA
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A small fraction of the primes are strictly non-palindromic. Notice that all strictly non-palindromic numbers >6 are prime! (See: A016038) Triples of these strictly non-palindromic primes, without any normal prime in between, are listed here.
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EXAMPLE
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Primes:
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113 is palindromic in base 8
127 is palindromic in base 2 and base 9
131 is palindromic in base 10
137 is strictly non-palindromic
139 is strictly non-palindromic
149 is strictly non-palindromic
151 is palindromic in base 3 and base 10
157 is palindromic in base 7 and base 12
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So {137, 139, 149} is the first triple of strictly nonpalindromic primes.
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CROSSREFS
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Cf. A138359, A138360, A138329, A016038, A047811, A016038.
Adjacent sequences: A138355 A138356 A138357 this_sequence A138359 A138360 A138361
Sequence in context: A091510 A134885 A082726 this_sequence A138329 A066477 A139647
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KEYWORD
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base,nonn,tabf
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AUTHOR
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Karl K. Hovekamp (karl.hovekamp(AT)web.de), Mar 16 2008
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