The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A077724

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A077724

a(n) = smallest prime which can be expressed as a sum of distinct powers of n.
(history; published version)

#10 by Alois P. Heinz at Wed Sep 20 19:23:20 EDT 2017

STATUS

proposed

approved

#9 by Ivan Neretin at Wed Sep 20 17:25:45 EDT 2017

STATUS

editing

proposed

#8 by Ivan Neretin at Wed Sep 20 17:24:54 EDT 2017

COMMENTS

Values of n at which a(n) reach record values are: 2, 3, 4, 6, 8, 9, 25, 49, 91, 121, 187, 201, 301, 721, 799, 841... Notably, many of them are squares of primes. - _Ivan Neretin_, Sep 20 2017

#7 by Ivan Neretin at Wed Sep 20 17:24:37 EDT 2017

COMMENTS

Values of n at which a(n) reach record values are: 2, 3, 4, 6, 8, 9, 25, 49, 91, 121, 187, 201, 301, 721, 799, 841... Notably, many of them are squares of primes.

LINKS

Ivan Neretin, <a href="/A077724/b077724.txt">Table of n, a(n) for n = 2..10000</a>

MATHEMATICA

Table[i = p = 1; While[! PrimeQ[p], p = FromDigits[IntegerDigits[i++, 2], n]]; p, {n, 2, 53}] (* Ivan Neretin, Sep 20 2017 *)

STATUS

approved

editing

#6 by N. J. A. Sloane at Thu Dec 05 19:55:55 EST 2013

AUTHOR

_Amarnath Murthy (amarnath_murthy(AT)yahoo.com), _, Nov 19 2002

Discussion

Thu Dec 05

19:55

OEIS Server: https://oeis.org/edit/global/2075

#5 by Russ Cox at Sat Mar 31 10:23:02 EDT 2012

EXTENSIONS

More terms from _Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), _, Jan 03 2003

Discussion

Sat Mar 31

10:23

OEIS Server: https://oeis.org/edit/global/354

#4 by N. J. A. Sloane at Fri Sep 29 03:00:00 EDT 2006

COMMENTS

a(n) = smalest smallest prime whose base n representation contains only zeros and 1's.

KEYWORD

nonn,new

nonn

#3 by N. J. A. Sloane at Wed Sep 22 03:00:00 EDT 2004

KEYWORD

nonn,new

nonn

EXTENSIONS

More terms from Sascha Kurz (sascha.kurz(AT)stud.uni-bayreuth.de), Jan 03 2003

#2 by N. J. A. Sloane at Sat Sep 13 03:00:00 EDT 2003

KEYWORD

nonn,new

nonn

EXTENSIONS

More terms from Sascha Kurz (ssascha.kurz(AT)tustud.uni-bsbayreuth.de), Jan 03 2003

#1 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

NAME

a(n) = smallest prime which can be expressed as a sum of distinct powers of n.

DATA

2, 3, 5, 5, 7, 7, 73, 739, 11, 11, 13, 13, 197, 241, 17, 17, 19, 19, 401, 463, 23, 23, 577, 10171901, 677, 757, 29, 29, 31, 31, 32801, 1123, 1336337, 44101, 37, 37, 1483, 59359, 41, 41, 43, 43, 85229, 93151, 47, 47, 110641, 13847169701, 2551, 345157903, 53, 53

OFFSET

2,1

COMMENTS

a(n) = smalest prime whose base n representation contains only zeros and 1's.

CROSSREFS

Cf. A020449, A000695, A033046, A077717, A077718, A077719, A077720, A077721, A077722, A077723.

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 19 2002

EXTENSIONS

More terms from Sascha Kurz (s.kurz(AT)tu-bs.de), Jan 03 2003

STATUS

approved