A107624 Numbers n such that every digit of n and n-th prime contains a loop (only digits 0,4,6,8,9 in n and n-th prime).

80, 600, 669, 884, 4646, 4666, 4806, 4980, 6480, 6666, 6806, 6849, 8448, 8688, 9489, 9494, 40046, 40664, 40804, 49848, 64444, 64466, 68864, 68994, 69008, 69060, 69084, 69089, 69090, 69899, 440986, 440999, 444049, 444080, 464446, 464496, 464499, 466466, 466844

Offset: 1

Author

Zak Seidov, May 18 2005

Keywords

• nonn
• base
• dumb

Comments

Corresponding primes in A107625. Cf. A001744 Every digit contains a loop.

Crossrefs

Cf. A001744, A107625.

Programs

Mathematica

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

PARI

is_a001744(n) = #setintersect(vecsort(digits(n), , 8), [1, 2, 3, 5, 7])==0
is(n) = is_a001744(n) && is_a001744(prime(n)) \\ Felix Fröhlich, Sep 09 2019

Extensions

More terms from Felix Fröhlich, Sep 09 2019