

A138360


Quintuples of 5 consecutive strictly nonpalindromic primes.


2



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
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OFFSET

1,1


COMMENTS

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 nonpalindromic numbers >6 are prime! (See A016038.) Quintuples of these strictly nonpalindromic primes, without any normal prime in between, are listed here.
Up to 1 billion there are only 5 quintuples of strictly nonpalindromic primes. May be that there are no more quintuples of this kind. Up to 1 billion there are no ntuples of strictly nonpalindromic primes with n>5.


REFERENCES

Karl Hovekamp, Palindromzahlen in adischen Zahlensystemen, 2004


LINKS

Table of n, a(n) for n=1..25.
K. Hovekamp, Palindromic numbers in different bases.
K. Hovekamp, Strictly nonpalindromic prime quintuple, quadruple and triple up to 1 billion
Wikipedia, Strictly nonpalindromic numbers.


EXAMPLE

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


CROSSREFS

Cf. A138358 (triples), A138359 (4tuples), A138329, A016038, A047811, A016038.
Sequence in context: A235211 A219335 A203731 * A206083 A199634 A203987
Adjacent sequences: A138357 A138358 A138359 * A138361 A138362 A138363


KEYWORD

base,hard,nonn,tabf


AUTHOR

Karl Hovekamp, Mar 16 2008


EXTENSIONS

More terms from Mauro Fiorentini, Jan 03 2016


STATUS

approved



