A065698 -id:A065698 - cp's OEIS frontend

A065703 Values of m such that N = (m+1)(2m+1)(71m+1) is a 3-Carmichael number (A087788).

1170, 5430, 53568, 59106, 63366, 86370, 95316, 99576, 103836, 105966, 116190, 183498, 184776, 239730, 260178, 300648, 319818, 333450, 339840, 362418, 367530, 481698, 485958, 503850, 511518, 605238, 644856, 725370, 732186, 762006, 788418, 799920, 837408, 870210

Offset: 1

Harvey Dubner (harvey(AT)dubner.com), Nov 14 2001

nonn

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A064238-A064262, A065695, A065696, A065697, A065698, A065699, A065700, A065701, A065702, A087788.

CarmichaelNbrQ[n_] := ! PrimeQ@ n && Mod[n, CarmichaelLambda@ n] == 1; Select[ Range@ 1000000, PrimeQ[# + 1] && PrimeQ[2# + 1] && PrimeQ[71# + 1] && CarmichaelNbrQ[(# + 1)(2# + 1)(71# + 1)] &] (* Robert G. Wilson v, Aug 23 2012 *)

for(m=1,1e6,is_A002997((m+1)*(2*m+1)*(71*m+1)) & print1(m","))  \\ - M. F. Hasler, Aug 23 2012

am+1, bm+1, cm+1 are primes and am|(N-1), bm|(N-1), cm|(N-1).

Definition simplified, missing terms inserted, and extended by M. F. Hasler, Aug 23 2012

More terms from Amiram Eldar, Oct 17 2019

A065696 Numbers m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,55.

Original entry on oeis.org

3876, 7506, 8166, 16746, 20706, 23676, 24336, 40506, 42156, 68226, 69876, 79776, 95286, 123996, 139176, 149076, 166236, 177786, 183066, 187686, 203856, 210126, 213096, 214086, 216396, 221676, 232566, 265566, 307146, 310116, 321006, 326946

Offset: 1

Harvey Dubner (harvey(AT)dubner.com), Nov 14 2001

nonn

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A064238-A064262, A065695, A065696, A065697, A065698, A065699, A065700, A065701, A065703, A087788.

CarmichaelNbrQ[n_] := ! PrimeQ@ n && Mod[n, CarmichaelLambda@ n] == 1; Select[ Range@ 350000, PrimeQ[# + 1] && PrimeQ[2# + 1] && PrimeQ[55# + 1] && CarmichaelNbrQ[(# + 1)(2# + 1)(55# + 1)] &] (* Robert G. Wilson v, Aug 23 2012 *)

am+1, bm+1, cm+1 are primes and am|(N-1), bm|(N-1), cm|(N-1).

A065701 Numbers m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,67.

Original entry on oeis.org

11958, 44118, 88740, 97986, 108438, 184416, 245520, 347628, 348030, 418380, 516870, 542598, 546618, 590436, 637470, 674856, 679680, 767316, 809526, 817566, 818370, 888720, 904800, 914046, 930930, 938568, 1006506, 1020978, 1047510, 1070826, 1081278, 1155246, 1209516

Offset: 1

Harvey Dubner (harvey(AT)dubner.com), Nov 14 2001

nonn

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A064238-A064262, A065695, A065696, A065697, A065698, A065699, A065700, A065702, A065703, A087788.

CarmichaelNbrQ[n_] := ! PrimeQ@ n && Mod[n, CarmichaelLambda@ n] == 1; Select[ Range@ 1250000, PrimeQ[# + 1] && PrimeQ[2# + 1] && PrimeQ[67# + 1] && CarmichaelNbrQ[(# + 1)(2# + 1)(67# + 1)] &] (* Robert G. Wilson v, Aug 23 2012 *)

am+1, bm+1, cm+1 are primes and am|(N-1), bm|(N-1), cm|(N-1).

cp's OEIS Frontend

A065703 Values of m such that N = (m+1)(2m+1)(71m+1) is a 3-Carmichael number (A087788).

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A065696 Numbers m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,55.

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A065701 Numbers m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,67.

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