The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A024899 Numbers k such that 6*k + 1 is prime. 32
 1, 2, 3, 5, 6, 7, 10, 11, 12, 13, 16, 17, 18, 21, 23, 25, 26, 27, 30, 32, 33, 35, 37, 38, 40, 45, 46, 47, 51, 52, 55, 56, 58, 61, 62, 63, 66, 68, 70, 72, 73, 76, 77, 81, 83, 87, 90, 91, 95, 96, 100, 101, 102, 103, 105, 107, 110, 112, 115, 118, 121, 122, 123, 125, 126, 128, 131, 135, 137 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Solutions of the equation (6*n+1)' = 1, where n' is the arithmetic derivative of n. - Paolo P. Lava, Jan 03 2013 For all elements of this sequence there are no (x,y) positive integers such that a(n)=6*x*y+x+y or a(n)=6*x*y-x-y. - Pedro Caceres, Apr 19 2019 LINKS Ray Chandler, Table of n, a(n) for n = 1..10000 (first 1000 terms from T. D. Noe) FORMULA a(n) = A024892(n)/2 = (A034936(n)+1)/2. - Ray Chandler, Dec 26 2003 a(n) = (A002476(n)-1)/6. - Zak Seidov, Aug 31 2016 MAPLE a := [ ]: for n from 0 to 400 do if isprime(6*n+1) then a := [ op(a), n ]; fi; od: A002476 := n->a[n]; MATHEMATICA Select[Range@ 140, PrimeQ[6 # + 1] &] (* Michael De Vlieger, Jan 23 2018 *) PROG (Magma) [n: n in [0..200]| IsPrime(6*n+1)] // Vincenzo Librandi, Nov 20 2010 (PARI) select(n->n%6==1, primes(100))\6 \\ Charles R Greathouse IV, Apr 28 2015 CROSSREFS A002476 gives primes, A091178 gives prime index. Complement of A046954 relative to A000027. Sequence in context: A214432 A110086 A107746 * A114518 A066940 A305318 Adjacent sequences: A024896 A024897 A024898 * A024900 A024901 A024902 KEYWORD nonn,easy AUTHOR STATUS approved

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

Last modified December 7 22:27 EST 2022. Contains 358671 sequences. (Running on oeis4.)