The irregular triangle of numbers is:
.
.Prime...Prime...........Frequency.with.which.different.prime
.Index...................sums.occur
..................N......2..........3..........4..........5
.
..1........2.............0..........0..........0..........0
..2........3.............1..........0..........0..........0
..3........5.............2..........0..........0..........0
..4........7.............1..........1..........0..........0
..5.......11........................5..........1..........0
..6.......13........................7..........3..........0
..7.......17........................7.........11..........2
..8.......19........................5.........18..........5
..9.......23........................1.........38.........18
.10.......29..................................71.........70
.11.......31..................................79........101
.12.......37..................................79........253
.13.......41..................................61........409
.14.......43..................................50........502
.15.......47..................................27........710
.16.......53...................................6.......1038
.17.......59...........................................1297
.18.......61...........................................1350
.19.......67...........................................1383
.20.......71...........................................1297
.21.......73...........................................1225
.22.......79............................................931
.23.......83............................................710
.24.......89............................................409
.25.......97............................................141
.26......101.............................................70
.27......103.............................................47
.28......107.............................................18
.29......109.............................................10
.30......113..............................................2
.
.Totals..................4.........26........444......11998
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