A212617    Least pentagonal number that is the product of n pentagonal numbers greater than 1.

5, 10045, 20475, 836640, 12397000, 1331330000, 143820000, 213051960000, 94724270640000, 3908675145375000, 104284286367187500, 43867845932728125000000, 12399293137277921875000

1	5
2	10045
3	20475
4	836640
5	12397000
6	1331330000
7	143820000
8	213051960000
9	94724270640000
10	3908675145375000
11	104284286367187500
12	43867845932728125000000
13	12399293137277921875000


a(1) = 5 = pen(2) = pen(2)
Indices: 2
Values:  5

a(2) = 10045 = pen(82) = pen(5) * pen(14)
Indices: 5,14
Values:  35,287

a(3) = 20475 = pen(117) = pen(2) * pen(5) * pen(9)
Indices: 2,5,9
Values:  5,35,117

a(4) = 836640 = pen(747) = pen(2) * pen(3)^2 * pen(28)
Indices: 2,3,3,28
Values:  5,12,12,1162

a(5) = 12397000 = pen(2875) = pen(2) * pen(4) * pen(5)^2 * pen(8)
Indices: 2,4,5,5,8
Values:  5,22,35,35,92

a(6) = 1331330000 = pen(29792) = pen(2)^2 * pen(5)^2 * pen(11) * pen(13)
Indices: 2,2,5,5,11,13
Values:  5,5,35,35,176,247

a(7) = 143820000 = pen(9792) = pen(2)^4 * pen(3) * pen(6) * pen(16)
Indices: 2,2,2,2,3,6,16
Values:  5,5,5,5,12,51,376

a(8) = 213051960000 = pen(376875) = pen(2)^4 * pen(3)^2 * pen(4) * pen(268)
Indices: 2,2,2,2,3,3,4,268
Values:  5,5,5,5,12,12,22,107602

a(9) = 94724270640000 = pen(7946667) = pen(2)^3 * pen(3)^3 * pen(6) * pen(10) * pen(199)
Indices: 2,2,2,3,3,3,6,10,199
Values:  5,5,5,12,12,12,51,145,59302

a(10) = 3908675145375000 = pen(51046875) = pen(2)^5 * pen(4) * pen(6) * pen(8) * pen(26) * pen(90)
Indices: 2,2,2,2,2,4,6,8,26,90
Values:  5,5,5,5,5,22,51,92,1001,12105

a(11) = 104284286367187500 = pen(263671875) = pen(2)^7 * pen(7)^2 * pen(30) * pen(369)
Indices: 2,2,2,2,2,2,2,7,7,30,369
Values:  5,5,5,5,5,5,5,70,70,1335,204057

a(12) = 43867845932728125000000 = pen(171012369792) = pen(2)^9 * pen(32) * pen(132) * pen(19439)
Indices: 2,2,2,2,2,2,2,2,2,32,132,19439
Values:  5,5,5,5,5,5,5,5,5,1520,26070,566802362

a(13) = 12399293137277921875000 = pen(90918619792) = pen(2)^8 * pen(4)^2 * pen(14) * pen(205) * pen(1556)
Indices: 2,2,2,2,2,2,2,2,4,4,14,205,1556
Values:  5,5,5,5,5,5,5,5,22,22,287,62935,3630926