proposed

approved

editing

proposed

This is not an arbitrary thing to do, as in some cases the sporadic group has an order depending on a specific power, as with A001228(1) + 1 = 7921 = 89^2 and A001228(3) + 1 = 175561 = 419^2. The largest integer to check is 1 + the order of the monster group, which is the semiprime 808017424794512875886459904961710757 005754368000 000001 808017424794512875886459904961710757005754368000000001 = 18250906752127213 * 44272727693397225537389001926419 07427744272727693397225537389001926419074277.

This is not an arbitrary thing to do, as in some cases the spradic sporadic group has an order depending on a specific power, as with A001228(1) + 1 = 7921 = 89^2 and A001228(3) + 1 = 175561 = 419^2. The largest integer to check is the 1 + the order of ther the monster group, which is the semiprime 808017424794512875886459904961710757 005754368000 000001 = 18250906752127213 * 44272727693397225537389001926419 074277.

approved

editing

_Jonathan Vos Post (jvospost3(AT)gmail.com), _, Aug 21 2006

easy,fini,full,nonn,new

Jonathan Vos Post (jvospost2jvospost3(AT)yahoogmail.com), Aug 21 2006

Primes of the form A001228(n) + 1 and A001228(n) - 1 where A001228 = orders of sporadic simple groups.

7919, 604801, 10200959, 44351999, 44352001, 50232961, 244823041, 460815505919, 64561751654399, 4089470473293004801, 4157776806543360001, 86775571046077562879

1,1

This is not an arbitrary thing to do, as in some cases the spradic group has an order depending on a specific power, as with A001228(1) + 1 = 7921 = 89^2 and A001228(3) + 1 = 175561 = 419^2. The largest integer to check is the 1 + the order of ther monster group, which is the semiprime 808017424794512875886459904961710757 005754368000 000001 = 18250906752127213 * 44272727693397225537389001926419 074277.

({A001228(n) + 1} UNION {A001228(n) - 1}) INTERSECTION A000040.

a(1) = 7919 = A001228(1) - 1.

a(2) = 604801 = A001228(5) + 1.

a(3) = 10200959 = A001228(6) - 1.

a(4) = 44351999 = A001228(7) - 1.

a(5) = 44352001 = A001228(7) + 1.

a(6) = 50232961 = A001228(8) + 1.

a(7) = 244823041 = A001228(9) + 1.

a(8) = 460815505919 = A001228(14) + 1.

a(9) = 64561751654399 = A001228(17) - 1.

a(10) = 4089470473293004801 = A001228(21) + 1.

a(11) = 4157776806543360001 = A001228(22) + 1.

a(12) = 86775571046077562879 = A001228(23) - 1.

Cf. A000040, A001228.

easy,fini,full,nonn

Jonathan Vos Post (jvospost2(AT)yahoo.com), Aug 21 2006

approved