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 A175964 Primes p such that each of the decimal numbers p^k for k=1..5 has exactly two 1s. 2
 1217, 14591, 20611, 21481, 41941, 60161, 81371, 110533, 112223, 115099, 115237, 117053, 124133, 131939, 135841, 140551, 144139, 159013, 170123, 176819, 195731, 218521, 241051, 246511, 301241, 421241, 461561, 513001, 517261, 614143, 627511, 716819, 786151, 810149 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Number of terms < 10^n: 0, 0, 0, 1, 7, 38, 266, ..., . - Robert G. Wilson v, Nov 05 2010 LINKS Table of n, a(n) for n=1..34. EXAMPLE 1217^k with k=1..5: 1217, 1481089, 1802485313, 2193624625921, 2669641169745857. MATHEMATICA fQ[n_] := DigitCount[{n, n^2, n^3, n^4, n^5}, 10, 1] == {2, 2, 2, 2, 2}; Select[ Prime@ Range@ 57800, fQ] (* Robert G. Wilson v, Nov 05 2010 *) Select[Prime[Range[52000]], Union[DigitCount[#^Range[5], 10, 1]]=={2}&] (* Harvey P. Dale, Feb 18 2015 *) PROG (Python) from somewhere import primegen for p in primegen(): if all(str(p**k).count('1') == 2 for k in range(1, 6)): print(p) # Lucas A. Brown, Mar 23 2024 CROSSREFS Sequence in context: A225759 A059669 A032628 * A300408 A252600 A293479 Adjacent sequences: A175961 A175962 A175963 * A175965 A175966 A175967 KEYWORD base,nonn AUTHOR Zak Seidov, Oct 31 2010 EXTENSIONS More terms from Robert G. Wilson v, Nov 05 2010 a(32)-a(34) from Lucas A. Brown, Mar 23 2024 Definition clarified by N. J. A. Sloane, Mar 23 2024 STATUS approved

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Last modified August 14 05:41 EDT 2024. Contains 375146 sequences. (Running on oeis4.)