The On-Line Encyclopedia of Integer Sequences (OEIS)

A124434 revision #12

A124434

LCM (least common multiple) of A001223 (sum of consecutive primes) and A001043 (difference of consecutive primes).

5, 8, 12, 36, 24, 60, 36, 84, 156, 60, 204, 156, 84, 180, 300, 336, 120, 384, 276, 144, 456, 324, 516, 744, 396, 204, 420, 216, 444, 1680, 516, 804, 276, 1440, 300, 924, 960, 660, 1020, 1056, 360, 1860, 384, 780, 396, 2460, 2604, 900, 456, 924, 1416, 480, 2460

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OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = lcm((prime(n+1)+prime(n)), (prime(n+1)-prime(n))).

EXAMPLE

a(3)=12 because prime(3)=5, prime(4)=7 and lcm(7+5, 7-5) = lcm(12,2) = 12.

MATHEMATICA

LCM[Total[#], #[[2]]-#[[1]]]&/@Partition[Prime[Range[60]], 2, 1] (* Harvey P. Dale, Apr 19 2013 *)

PROG