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A093441
Lexicographically earliest sequence of primes such that a(n) - 1 == 0 (mod a(n - 1) - 1) where a(n) - 1 is a squarefree number; a(1) = 3.
2
3, 7, 31, 211, 2311, 43891, 1272811, 16546531, 976245271, 36121074991, 1119753324691, 52628406260431, 3526103219448811, 186883470630786931, 7662222295862264131, 743235562698639620611, 54256196077000692304531, 6130950156701078230411891, 631487866140211057732424671
OFFSET
1,1
LINKS
MATHEMATICA
a[1] = 3; a[n_] := a[n] = Block[{k = m = a[n - 1] - 1}, k *= 2; While[ !PrimeQ[k + 1] || !SquareFreeQ[k], k += m]; k + 1]; Table[ a[n], {n, 17}] (* Robert G. Wilson v, Apr 30 2004 *)
CROSSREFS
Distinct from A073918.
Cf. A083772. - R. J. Mathar, Sep 05 2008
Sequence in context: A289127 A289125 A083772 * A087864 A066676 A073917
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Apr 01 2004
EXTENSIONS
a(7)-a(17) from Robert G. Wilson v, Apr 30 2004
a(18)-a(19) from Amiram Eldar, Jan 19 2023
STATUS
approved