# This is the a003004.txt text file. # a(6)-a(74) from Samuel S. Wagstaff, 1972. # a(75)-a(110) from Z. Shao, F. Deng, M. Liang, X. Xu, 2012. # a(111)-a(115) from Fausto A. C. Cariboni, Apr 30 2018 # Sets with n that yield a(n) for n = 6..115 from Fausto A. C. Cariboni, Apr 30 2018 a(6)=5 from {1,2,3,4,6} a(7)=6 from {1,2,3,4,6,7} a(8)=7 from {1,2,3,4,6,7,8} a(9)=8 from {1,2,3,4,6,7,8,9} a(10)=8 from {1,2,3,4,6,7,9,10} a(11)=9 from {1,2,3,4,6,7,8,9,11} a(12)=10 from {1,2,3,4,6,7,8,9,11,12} a(13)=11 from {1,2,3,4,6,7,8,9,11,12,13} a(14)=12 from {1,2,3,4,6,7,8,9,11,12,13,14} a(15)=12 from {1,2,3,5,6,7,8,10,11,12,13,15} a(16)=13 from {1,2,3,4,6,7,8,9,11,12,13,14,16} a(17)=14 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17} a(18)=15 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18} a(19)=16 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19} a(20)=16 from {1,2,3,5,6,7,8,10,11,12,13,15,16,17,18,20} a(21)=16 from {1,2,3,4,6,7,8,9,11,12,13,14,17,18,19,21} a(22)=16 from {1,2,3,4,6,7,8,9,11,12,13,14,16,18,19,22} a(23)=16 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,19,23} a(24)=17 from {1,2,3,4,6,7,8,9,11,12,13,14,18,20,21,22,24} a(25)=18 from {1,2,3,4,6,7,8,9,11,12,13,14,18,20,21,22,24,25} a(26)=18 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,24,25,26} a(27)=19 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,24,25,26,27} a(28)=20 from {1,2,3,4,6,7,8,9,11,12,13,14,18,20,21,22,24,25,27,28} a(29)=21 from {1,2,3,4,6,7,8,9,11,12,13,14,18,20,21,22,24,25,27,28,29} a(30)=21 from {1,2,3,4,6,7,8,9,11,12,13,14,18,20,21,22,25,27,28,29,30} a(31)=22 from {1,2,3,4,6,7,8,9,11,12,13,14,18,20,21,22,24,25,27,28,29,31} a(32)=22 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32} a(33)=23 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33} a(34)=24 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34} a(35)=24 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,28,29,30,31,33,34,35} a(36)=25 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36} a(37)=26 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37} a(38)=27 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38} a(39)=28 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39} a(40)=28 from {1,2,3,5,6,7,8,10,11,12,13,15,16,17,18,20,26,27,28,30,31,32,33,35,36,37,38,40} a(41)=29 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41} a(42)=30 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42} a(43)=31 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43} a(44)=32 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44} a(45)=32 from {1,2,3,5,6,7,8,10,11,12,13,15,16,17,18,20,26,27,28,30,31,32,33,35,36,37,38,40,41,42,43,45} a(46)=32 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,37,38,39,41,42,43,44,46} a(47)=32 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,38,39,41,42,43,44,47} a(48)=32 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,39,41,42,43,44,48} a(49)=33 from {1,2,3,4,6,7,8,9,11,13,14,16,17,19,22,23,26,27,28,29,31,32,33,34,36,38,41,42,44,45,47,48,49} a(50)=33 from {1,2,3,4,6,7,8,9,11,12,13,14,16,18,19,22,26,27,28,29,31,32,33,34,37,39,41,43,44,46,47,48,50} a(51)=34 from {1,2,3,4,6,7,8,9,11,12,13,14,16,18,19,22,26,27,28,29,31,32,33,34,37,39,41,43,44,46,47,48,50,51} a(52)=35 from {1,2,3,4,6,7,8,9,11,13,14,16,17,19,22,23,26,27,28,29,31,32,33,34,36,38,41,42,44,45,47,48,49,51,52} a(53)=35 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53} a(54)=36 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54} a(55)=36 from {1,2,3,4,6,7,8,9,11,12,13,14,16,18,19,22,26,28,29,31,32,34,35,36,37,39,41,44,45,47,48,50,51,52,54,55} a(56)=37 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56} a(57)=38 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57} a(58)=39 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58} a(59)=40 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59} a(60)=40 from {1,2,3,4,6,7,8,9,11,12,13,14,16,18,22,24,26,27,28,29,32,33,34,35,37,39,43,45,47,48,49,50,52,53,54,55,57,58,59,60} a(61)=41 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61} a(62)=42 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62} a(63)=43 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63} a(64)=44 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64} a(65)=44 from {1,2,3,5,6,7,8,10,11,12,13,15,16,17,18,20,26,27,28,30,31,32,33,35,36,37,38,40,41,42,43,45,51,52,53,55,56,57,58,60,61,62,63,65} a(66)=45 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66} a(67)=46 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67} a(68)=47 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68} a(69)=48 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69} a(70)=48 from {1,2,3,5,6,7,8,10,11,12,13,15,16,17,18,20,26,27,28,30,31,32,33,35,36,37,38,40,41,42,43,45,51,52,53,55,56,57,58,60,61,62,63,65,66,67,68,70} a(71)=48 from {1,2,3,4,6,7,8,9,11,12,13,14,17,18,19,21,26,27,28,29,31,32,33,34,36,37,38,39,42,43,44,46,51,52,53,54,56,57,58,59,61,62,63,64,67,68,69,71} a(72)=48 from {1,2,3,4,6,7,8,9,11,12,13,14,16,18,19,22,26,27,28,29,31,32,33,34,36,37,38,39,41,43,44,47,51,52,53,54,56,57,58,59,61,62,63,64,66,68,69,72} a(73)=48 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,19,23,26,27,28,29,31,32,33,34,36,37,38,39,41,42,44,48,51,52,53,54,56,57,58,59,61,62,63,64,66,67,69,73} a(74)=48 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,24,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,49,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,74} a(75)=48 from {1,2,3,4,6,7,8,9,12,14,16,18,19,21,22,23,26,27,28,29,31,32,33,34,37,39,41,43,44,46,47,48,51,52,53,54,56,58,59,62,64,66,68,69,71,72,73,75} a(76)=49 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76} a(77)=50 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76,77} a(78)=51 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76,77,78} a(79)=52 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76,77,78,79} a(80)=52 from {1,2,3,5,6,7,8,10,11,12,13,15,16,17,18,20,26,27,28,30,31,32,33,35,36,37,38,40,41,42,43,45,51,52,53,55,56,57,58,60,61,62,63,65,66,67,68,70,76,77,78,80} a(81)=53 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76,77,78,79,81} a(82)=54 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76,77,78,79,81,82} a(83)=55 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76,77,78,79,81,82,83} a(84)=56 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76,77,78,79,81,82,83,84} a(85)=56 from {1,2,3,5,6,7,8,10,11,12,13,15,16,17,18,20,26,27,28,30,31,32,33,35,36,37,38,40,41,42,43,45,51,52,53,55,56,57,58,60,61,62,63,65,66,67,68,70,76,77,78,80,81,82,83,85} a(86)=57 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76,77,78,79,81,82,83,84,86} a(87)=58 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76,77,78,79,81,82,83,84,86,87} a(88)=59 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76,77,78,79,81,82,83,84,86,87,88} a(89)=60 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76,77,78,79,81,82,83,84,86,87,88,89} a(90)=60 from {1,2,3,5,6,7,8,10,11,12,13,15,16,17,18,20,26,27,28,30,31,32,33,35,36,37,38,40,41,42,43,45,51,52,53,55,56,57,58,60,61,62,63,65,66,67,68,70,76,77,78,80,81,82,83,85,86,87,88,90} a(91)=61 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76,77,78,79,81,82,83,84,86,87,88,89,91} a(92)=62 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76,77,78,79,81,82,83,84,86,87,88,89,91,92} a(93)=63 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76,77,78,79,81,82,83,84,86,87,88,89,91,92,93} a(94)=64 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76,77,78,79,81,82,83,84,86,87,88,89,91,92,93,94} a(95)=64 from {1,2,3,5,6,7,8,10,11,12,13,15,16,17,18,20,26,27,28,30,31,32,33,35,36,37,38,40,41,42,43,45,51,52,53,55,56,57,58,60,61,62,63,65,66,67,68,70,76,77,78,80,81,82,83,85,86,87,88,90,91,92,93,95} a(96)=64 from {1,2,3,4,6,7,8,9,11,12,13,14,17,18,19,21,26,27,28,29,31,32,33,34,36,37,38,39,42,43,44,46,51,52,53,54,56,57,58,59,61,62,63,64,67,68,69,71,76,77,78,79,81,82,83,84,86,87,88,89,92,93,94,96} a(97)=64 from {1,2,3,4,6,7,8,9,11,12,13,14,16,18,19,22,26,27,28,29,31,32,33,34,36,37,38,39,41,43,44,47,51,52,53,54,56,57,58,59,61,62,63,64,66,68,69,72,76,77,78,79,81,82,83,84,86,87,88,89,91,93,94,97} a(98)=64 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,19,23,26,27,28,29,31,32,33,34,36,37,38,39,41,42,44,48,51,52,53,54,56,57,58,59,61,62,63,64,66,67,69,73,76,77,78,79,81,82,83,84,86,87,88,89,91,92,94,98} a(99)=64 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,24,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,49,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,74,76,77,78,79,81,82,83,84,86,87,88,89,91,92,93,99} a(100)=64 from {1,2,3,5,6,7,8,10,11,12,13,15,16,17,18,25,26,27,28,30,31,32,33,35,36,37,38,40,41,42,43,50,51,52,53,55,56,57,58,60,61,62,63,65,66,67,68,75,76,77,78,80,81,82,83,85,86,87,88,90,91,92,93,100} a(101)=64 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,77,78,79,81,82,83,84,86,87,88,89,91,92,93,94,101} a(102)=64 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76,78,79,81,82,83,84,86,87,88,89,91,92,93,94,102} a(103)=64 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76,77,79,81,82,83,84,86,87,88,89,91,92,93,94,103} a(104)=64 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76,77,78,81,82,83,84,86,87,88,89,91,92,93,94,104} a(105)=65 from {1,2,3,5,6,7,8,10,11,12,13,15,17,18,20,21,26,27,28,30,31,32,33,35,36,37,38,40,42,43,45,46,51,52,55,56,57,60,61,62,63,65,67,68,70,71,73,76,78,81,85,86,87,88,90,92,93,95,96,97,98,102,103,104,105} a(106)=65 from {1,2,3,4,6,7,8,9,11,12,13,16,17,18,19,24,26,27,28,29,31,32,33,34,36,37,38,41,42,43,44,49,52,53,54,56,57,58,59,61,62,63,66,67,68,69,74,76,78,83,84,86,87,88,91,92,93,94,97,99,101,102,104,105,106} a(107)=65 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,83,84,86,87,88,90,91,93,94,95,97,101,102,103,104,106,107} a(108)=65 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,79,84,86,87,88,89,91,94,95,97,98,101,102,103,106,107,108} a(109)=66 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,24,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,49,51,52,54,56,57,58,61,62,63,64,66,67,68,74,77,78,79,82,84,86,87,88,89,92,93,95,96,99,101,103,105,106,108,109} a(110)=66 from {1,2,3,4,6,7,8,9,14,16,17,18,19,21,22,23,26,27,28,29,31,32,33,34,39,41,42,43,44,46,47,48,51,52,56,57,58,64,66,67,68,69,71,72,73,74,76,77,78,79,82,91,92,93,94,96,97,98,99,103,104,105,106,108,109,110} a(111)=66 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,54,56,59,61,62,63,64,66,67,68,69,72,73,77,78,79,84,88,89,91,92,93,94,96,97,102,103,105,106,107,108,110,111} a(112)=66 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,51,52,53,54,56,57,58,59,61,62,63,64,66,67,68,69,76,81,88,89,90,91,94,97,98,99,102,103,104,107,108,110,111,112} a(113)=67 from {1,2,3,4,6,7,8,9,11,12,14,16,17,18,23,24,26,27,28,29,31,32,33,34,36,37,39,41,42,43,49,51,52,54,56,57,58,59,61,62,63,64,66,67,68,74,78,79,82,86,88,89,91,92,93,95,99,101,102,103,105,106,108,109,110,112,113} a(114)=67 from {1,2,3,4,6,7,8,9,12,14,16,17,18,19,21,23,26,27,28,31,32,33,37,39,41,42,43,44,46,48,49,51,52,54,56,57,58,62,64,66,67,68,69,71,73,74,76,77,78,79,83,91,92,93,95,96,98,99,104,105,106,107,109,110,112,113,114} a(115)=67 from {1,2,3,4,6,7,8,9,11,12,13,14,16,17,19,23,26,27,28,29,31,32,34,36,37,38,39,41,42,43,44,48,51,52,57,62,63,64,66,67,68,69,71,73,74,77,78,79,81,82,87,92,98,99,100,101,103,104,105,106,108,109,110,111,113,114,115}