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A083518 Beginning with 3, a(i)*a(j) + 2 is prime for all i, j, i<>j. 1

%I #13 Oct 13 2023 07:37:11

%S 3,5,7,27,45,495,3615,16695,533445,832305,122789427,8705408757,

%T 77597861913

%N Beginning with 3, a(i)*a(j) + 2 is prime for all i, j, i<>j.

%C All terms have the form 10*k+3, 10*k+5, or 10*k+7. [Corrected by _Pontus von Brömssen_, Oct 12 2023]

%C Conjecture: sequence is finite.

%C Next term is > 266*10^9. - _David Wasserman_, Nov 22 2004

%e 3*7+2, 5*7+2, 3*5+2, etc. are primes.

%Y Cf. A083519.

%K nonn,more

%O 1,1

%A _Amarnath Murthy_ and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 05 2003

%E More terms from _David Wasserman_, Nov 22 2004

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Last modified September 1 03:07 EDT 2024. Contains 375575 sequences. (Running on oeis4.)