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A107625 Every digit of prime and its index contains a loop (only digits 0,4,6,8,9 in prime and its index). 4
409, 4409, 4999, 6869, 44699, 44909, 46499, 48409, 64849, 66889, 68449, 68909, 86969, 89689, 98869, 98899, 480499, 488689, 490499, 609809, 806609, 806999, 866969, 868669, 868849, 869489, 869849, 869899, 869909, 880949, 6440809, 6440999, 6488969, 6489449 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Corresponding indices in A107624. Cf. A001744 Every digit contains a loop.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..376

MATHEMATICA

Do[id=Union[IntegerDigits[p=Prime[n]], IntegerDigits[n]]; If[Count[id, 1]+Count[id, 2]+Count[id, 3]+Count[id, 5]+Count[id, 7]==0, Print[p]], {n, 10000}]

Module[{c={0, 4, 6, 8, 9}}, Select[Prime/@(Rest[FromDigits/@Tuples[c, 6]]), SubsetQ[ c, IntegerDigits[#]]&]] (* Harvey P. Dale, Sep 03 2015 *)

PROG

(PARI) is_a001744(n) = #setintersect(vecsort(digits(n), , 8), [1, 2, 3, 5, 7])==0

my(i=1); forprime(p=1, 65e5, if(is_a001744(p) && is_a001744(i), print1(p, ", ")); i++) \\ Felix Fröhlich, Sep 09 2019

CROSSREFS

Cf. A001744, A107624.

Sequence in context: A052376 A201483 A031601 * A061333 A262636 A238753

Adjacent sequences: A107622 A107623 A107624 * A107626 A107627 A107628

KEYWORD

nonn,base,dumb

AUTHOR

Zak Seidov, May 18 2005

EXTENSIONS

More terms from Harvey P. Dale, Sep 03 2015

STATUS

approved

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Last modified December 1 14:21 EST 2022. Contains 358468 sequences. (Running on oeis4.)