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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A224612 Let p = prime(n). Smallest j such that j*2*p^3-1, j*p*2*q^2-1, j*p*2*r^2-1, and j*p*2*s^2-1 are prime numbers. 3
29952, 12063, 1463, 6102, 11661, 49552, 639179, 2099290, 291248, 393186, 545251, 321303, 436641, 278295, 746832, 237852, 56490, 165901, 152847, 619755, 777177, 3410085, 117513, 2015421 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Conjecture: a(n) exists for all n.

LINKS

Table of n, a(n) for n=1..24.

MATHEMATICA

a[n_] := For[j = 1, j < 10^7, j++, p = Prime[n]; If[PrimeQ[q = j*2*p^3 - 1] && PrimeQ[r = j*2*p*q^2 - 1] && PrimeQ[s = j*2*p*r^2 - 1] && PrimeQ[j*2*p*s^2 - 1], Return[j]]]; Table[Print[an = a[n]]; an, {n, 1, 24}] (* Jean-François Alcover, Apr 12 2013 *)

CROSSREFS

Cf. A224492, A224609, A224610, A224611.

Sequence in context: A235826 A235823 A235581 * A233946 A234735 A106771

Adjacent sequences:  A224609 A224610 A224611 * A224613 A224614 A224615

KEYWORD

nonn

AUTHOR

Pierre CAMI, Apr 12 2013

EXTENSIONS

More terms from Jean-François Alcover, Apr 12 2013

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 25 12:55 EDT 2022. Contains 354851 sequences. (Running on oeis4.)