A138359 -id:A138359 - cp's OEIS frontend

A138358 List of triples of strictly non-palindromic primes without an ordinary prime in between.

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

Offset: 1

Karl Hovekamp, Mar 16 2008

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.

			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.

Karl Hovekamp, Palindromzahlen in adischen Zahlensystemen, 2004

K. Hovekamp, Palindromic numbers in different bases.
K. Hovekamp, Strictly non-palindromic prime 5-tuple, quadruple and triple up to 1 billion
Wikipedia, Strictly non-palindromic numbers.

Cf. A138359, A138360, A138329, A016038, A047811, A016038.

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.

A138360 Quintuples of 5 consecutive strictly non-palindromic primes.

Original entry on oeis.org

3253177, 3253219, 3253223, 3253231, 3253241, 20189111, 20189119, 20189123, 20189137, 20189167, 22122937, 22122979, 22122983, 22123021, 22123043, 61309069, 61309081, 61309091, 61309093, 61309097, 89073521, 89073533, 89073583, 89073599, 89073613

Offset: 1

Karl Hovekamp, Mar 16 2008

The quintuples T(n,1), T(n,2), .. T(n,5), n>=1, in this array are 5 consecutive primes (consecutive in A000040) which are also members of A016038.
Notice that all strictly non-palindromic numbers >6 are prime! (See A016038.) Quintuples of these strictly non-palindromic primes, without any normal prime in between, are listed here.
Up to 1 billion there are only 5 quintuples of strictly non-palindromic primes. May be that there are no more quintuples of this kind. Up to 1 billion there are no n-tuples of strictly non-palindromic primes with n>5.

			Primes:
...
3253153 palindromic in bases 203, 356, 495, 1316, 1442, 1504 and 1648
3253177 strictly non-palindromic
3253219 strictly non-palindromic
3253223 strictly non-palindromic
3253231 strictly non-palindromic
3253241 strictly non-palindromic
3253253 palindromic in bases 653, 768, 910 and 1001
...
So {3253177, 3253219, 3253223, 3253231, 3253241} is the first quintuple of the strictly non-palindromic primes.

Karl Hovekamp, Palindromzahlen in adischen Zahlensystemen, 2004

K. Hovekamp, Palindromic numbers in different bases.
K. Hovekamp, Strictly non-palindromic prime 5-tuple, quadruple and triple up to 1 billion
Wikipedia, Strictly non-palindromic numbers.

Cf. A138358 (triples), A138359 (4-tuples), A138329, A016038, A047811, A016038.

More terms from Mauro Fiorentini, Jan 03 2016

cp's OEIS Frontend

A138358 List of triples of strictly non-palindromic primes without an ordinary prime in between.

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