login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A133870 Primes of the form 32*n + 1. 13
97, 193, 257, 353, 449, 577, 641, 673, 769, 929, 1153, 1217, 1249, 1409, 1601, 1697, 1889, 2017, 2081, 2113, 2273, 2593, 2657, 2689, 2753, 3041, 3137, 3169, 3329, 3361, 3457, 3617, 4001, 4129, 4289, 4481, 4513, 4673, 4801, 4993, 5153, 5281, 5441, 5569 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Corresponding n's: 3, 6, 8, 11, 14, 18, 20, 21, 24, 29, 36, 38, 39, ... (A133869).

These primes p are the only ones with the property that for every integer m from interval [0,p) with the Hamming  distance D(m,p) = 2 or 3, there exists an integer h from (m,p) with D(m,h) = D(m,p). - Vladimir Shevelev, Apr 19 2012

Primes p such that p XOR 30 = p + 30. - Brad Clardy, Jul 22 2012

Odd primes p such that -1 is a 16th power mod p. - Eric M. Schmidt, Mar 27 2014

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

MATHEMATICA

Select[32*Range[175] + 1, PrimeQ] (* Alonso del Arte, Jul 24 2012 *)

Select[Prime[Range[4000]], MemberQ[{1}, Mod[#, 32]]&] (* Vincenzo Librandi, Aug 18 2012 *)

PROG

(Haskell)

a133870 n = a133870_list !! (n-1)

a133870_list = filter ((== 1) . a010051) [1, 33..]

-- Reinhard Zumkeller, Mar 06 2012

(MAGMA) [p: p in PrimesUpTo(12000) | p mod 32 eq 1 ]; // Vincenzo Librandi, Aug 18 2012

CROSSREFS

Cf. A000040, A133869; A065091, A002144, A007519, A094407, A142925, A208177, A208178, A076339.

Sequence in context: A107193 A256775 A142398 * A060329 A157924 A044429

Adjacent sequences:  A133867 A133868 A133869 * A133871 A133872 A133873

KEYWORD

nonn,easy

AUTHOR

Zak Seidov, Sep 27 2007

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified November 21 06:31 EST 2017. Contains 294989 sequences.