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 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 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

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