#Sigma =       x1 +         x2 +         x3 +         x4 +         x5
294821130240 = 53542288800, 59509850400, 59999219280, 60074174160, 61695597600
350100092160 = 67154527440, 68763895200, 69626138400, 71957405520, 72598125600
368526412800 = 67509842400, 72747675000, 73605331800, 75710489400, 78953074200
457350727680 = 87113426400, 88410722400, 89398663200, 96058282320, 96369633360
457350727680 = 87502615200, 88021533600, 89398663200, 96058282320, 96369633360
466800122880 = 86133247200, 89894684880, 90391981680, 97306569360, 103073639760
466800122880 = 86133247200, 89894684880, 94320626400, 96759542880, 99692021520
466800122880 = 86133247200, 90391981680, 94832992800, 94972878000, 100469023200
522686545920 = 98471252880, 102481394400, 103169959200, 109117562400, 109446377040
#The following 5-tuples may contain gaps.
538615526400 = 100951250400, 102217096800, 108942593760, 110168538480, 116336046960
544600143360 = 106112326320, 106471965600, 106947640800, 109138629600, 115929581040
561564057600 = 109792322640, 111158447400, 113068715760, 113731417800, 113813154000
570621542400 = 108211783680, 108432324000, 108864756000, 116046010080, 129066668640
570621542400 = 108211783680, 108432324000, 108864756000, 120815604000, 124297074720
570621542400 = 108211783680, 108432324000, 112157004960, 112753761120, 129066668640
570621542400 = 108211783680, 108432324000, 112157004960, 114561326880, 127259102880
570621542400 = 108211783680, 112753761120, 114498125280, 115339704480, 119818167840
622400163840 = 116533216800, 121640959440, 126727146000, 128101493520, 129397348080
622400163840 = 121162401360, 121640959440, 121736815200, 127457169840, 130402818000
647958528000 = 125194469400, 125248523400, 128394050400, 133074295200, 136047189600
653358182400 = 120470149800, 124274470320, 129215671200, 139539652560, 139858238520
655158067200 = 123106183200, 127762034400, 131394463200, 135248153040, 137647233360
655158067200 = 125297172000, 127762034400, 131739426000, 134228694600, 136130740200