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 A230746 Carmichael numbers of the form (30*k + 1)*(120*k + 1)*(150*k + 1), where 30*k + 1, 120*k + 1 and 150*k + 1 are all primes. 2
 68154001, 3713287801, 63593140801, 122666876401, 193403531401, 227959335001, 246682590001, 910355497801, 4790779641001, 5367929037001, 6486222838801, 24572944746001, 25408177226401, 27134994772801, 55003376283001, 63926508701401, 108117809748001, 112614220996801 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 Eric Weisstein's World of Mathematics, Carmichael Number Index entries for sequences related to Carmichael numbers Index entries for sequences related to pseudoprimes FORMULA (A007304 INTERSECT A157956) INTERSECT A230722. MATHEMATICA carmQ[n_] := CompositeQ[n] && Divisible[n - 1, CarmichaelLambda[n]]; v = {30, 120, 150}; Times @@ (v*# + 1) & /@ Select[Range[1000], AllTrue[(w = v*# + 1), PrimeQ] && carmQ[Times @@ w] &] (* Amiram Eldar, Nov 11 2019 *) PROG (Magma) [n : k in [1..593 by 2] | IsPrime(a) and IsPrime(b) and IsPrime(c) and IsOne(n mod CarmichaelLambda(n)) where n is a*b*c where a is 30*k+1 where b is 120*k+1 where c is 150*k+1] CROSSREFS Subsequence of A083739 and of A230722. Cf. A002997, A007304, A157956. Sequence in context: A183707 A256274 A158890 * A084071 A251615 A321706 Adjacent sequences: A230743 A230744 A230745 * A230747 A230748 A230749 KEYWORD nonn AUTHOR Arkadiusz Wesolowski, Oct 29 2013 STATUS approved

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Last modified September 17 05:28 EDT 2024. Contains 375985 sequences. (Running on oeis4.)