|
|
A166502
|
|
The n-th power of the product prime(n)*prime(n+1) of 2 successive primes.
|
|
1
|
|
|
6, 225, 42875, 35153041, 59797108943, 116507435287321, 366790143213462347, 1329999555322686599521, 26129584584668699724236347, 344823548950275944213556441001, 4520615782446712879799718786455203, 148534373731547764810930925932451123761
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
FORMULA
|
|
|
EXAMPLE
|
A[k,n] = n-th product of k-th power of 2 successive primes begins:
===============================================================================
...|.n=1|..n=2|....n=3|.....n=4|......n=5|......n=6|......n=7|......n=8|.in.OEIS
================================================================================
k=1|...6|...15|.....35|......77|......143|......221|......323|......437|A006094
k=2|..36|..225|...1225|....5929|....20449|....48841|...104329|...104329|A166329
k=3|.216|.3375|..42875|..456533|..2924207|.10793861|.33698267|.83453453|A152241
k=4|1296|50625|1500625|35153041|418161601|.........|.........|.........|.......
================================================================================
|
|
MAPLE
|
|
|
MATHEMATICA
|
With[{nn=20}, (Times@@#[[2]])^#[[1]]&/@Thread[{Range[nn-1], Partition[ Prime[ Range[ nn]], 2, 1]}]] (* Harvey P. Dale, Jan 12 2015 *)
|
|
PROG
|
(PARI) a(n) = (prime(n)*prime(n+1))^n; \\ Michel Marcus, May 05 2019
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|