login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A253577 Primes p such that digits of p do not appear in p^8. 2
3, 43, 59, 73, 233, 353 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(7) > 10^7.

Subsequence of A253606. a(7) > 10^9. - Chai Wah Wu, Jan 05 2015

LINKS

Table of n, a(n) for n=1..6.

EXAMPLE

3 and 3^8 = 6561 have no digits in common, hence 3 is in the sequence.

MATHEMATICA

Select[Prime[Range[1000000]], Intersection[IntegerDigits[#], IntegerDigits[#^8]]=={} &]

PROG

(Python)

from sympy import isprime

A253577_list = [n for n in range(1, 10**6) if set(str(n)) & set(str(n**8)) == set() and isprime(n)]

# Chai Wah Wu, Jan 05 2015

CROSSREFS

Cf. similar sequences listed in A253574.

Sequence in context: A157572 A332973 A137192 * A059802 A139854 A194578

Adjacent sequences:  A253574 A253575 A253576 * A253578 A253579 A253580

KEYWORD

nonn,base,more

AUTHOR

Vincenzo Librandi, Jan 04 2015

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 7 17:02 EDT 2020. Contains 336277 sequences. (Running on oeis4.)