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A138358
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List of triples of strictly non-palindromic primes without an ordinary prime in between.
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2
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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; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 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
| Karl Hovekamp, Palindromzahlen in adischen Zahlensystemen, 2004
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LINKS
| 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
| 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
| Primes:
...
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
...
So {137, 139, 149} is the first triple of strictly non-palindromic primes.
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CROSSREFS
| Cf. A138359, A138360, A138329, A016038, A047811, A016038.
Sequence in context: A134885 A082726 A189998 * A138329 A066477 A139647
Adjacent sequences: A138355 A138356 A138357 * A138359 A138360 A138361
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KEYWORD
| base,nonn,tabf
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AUTHOR
| Karl K. Hovekamp (karl.hovekamp(AT)web.de), Mar 16 2008
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