A138358 -id:A138358 - cp's OEIS frontend

A138359 List of quadruples of strictly non-palindromic primes without an ordinary prime in between them.

44449, 44453, 44483, 44491, 120811, 120817, 120823, 120829, 315037, 315047, 315059, 315067, 583069, 583087, 583127, 583139, 617411, 617429, 617447, 617453, 1553423, 1553429, 1553437, 1553467, 1712329, 1712339, 1712353, 1712369

Offset: 1

Karl Hovekamp, Mar 16 2008

For triples of this kind, see A138358.

For quintuples of this kind, see A138360.

			Primes:
...
44417 palindromic in bases 50, 106, 135 and 141
44449 strictly non-palindromic
44453 strictly non-palindromic
44483 strictly non-palindromic
44491 strictly non-palindromic
44497 palindromic in base 67 and base 206
...
So {44449, 44453, 44483, 44491} is the first quadruple 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. A138358, A138360, A138329, A016038, A047811, A016038.

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

A138359 List of quadruples of strictly non-palindromic primes without an ordinary prime in between them.

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