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Zeisel numbers
A product of primes in a particular arithmetic-geometric progression. more

The first 600 Zeisel numbers :
105, 1419, 1729, 1885, 4505, 5719, 15387, 24211, 25085, 27559, 31929, 54205, 59081, 114985, 207177, 208681, 233569, 287979, 294409, 336611, 353977, 448585, 507579, 982513, 1012121, 1073305, 1242709, 1485609, 2089257, 2263811, 2953711, 3077705, 3506371, 3655861, 3812599, 3973085, 4293793, 4648261, 4813879, 5069629, 6173179, 6253085, 6622609, 6985249, 7355239, 7355671, 7558219, 8011459, 8413179, 8444431, 8712985, 8835799, 9271805, 9773731, 10235499, 13534129, 14662681, 15411785, 16596371, 18175361, 18578113, 18651417, 19827641, 20138379, 20771801, 22549639, 23691481, 25711399, 26000605, 26758057, 31852931, 32812089, 32894743, 34179391, 34878529, 35347159, 37605385, 38596273, 41305159, 42501439, 43055057, 44544219, 46999705, 48476449, 49982899, 52691801, 53399449, 54177877, 55902529, 56052361, 59267089, 65237577, 68633979, 69207769, 71550913, 71657209, 72457085, 72730439, 76724569, 78225589, 79796761, 84280585, 87393129, 92458529, 92835667, 96916279, 96931639, 100085785, 104966471, 118901521, 126893905, 127090931, 130692329, 133800661, 134574729, 161164441, 162913085, 167195509, 170383081, 172947529, 176116299, 177055201, 185245273, 195850411, 197916193, 199708657, 210509529, 212122639, 213701405, 216821881, 221042353, 222931549, 228842209, 237646105, 240479779, 249925249, 257519143, 265265329, 265786107, 266032009, 268578181, 269545249, 272174369, 290770505, 291335089, 306333559, 320237979, 321767447, 323476777, 332898769, 342116741, 367224619, 372526121, 375615073, 378606709, 392605449, 418637557, 426689979, 428108921, 443880589, 458576371, 483824809, 513769209, 559874269, 572905085, 578178931, 599938361, 604611019, 607692079, 627977681, 644074039, 656960585, 662998921, 667235531, 668997041, 671405827, 732641959, 758056531, 763651289, 770382685, 781296905, 790296729, 820192231, 826048329, 856970353, 872159101, 873571459, 939947009, 953055097, 959646507, 970578289, 976228129, 994732211, 995762585, 1006956091, 1007749849, 1017436249, 1020225061, 1023780151, 1056066169, 1075122185, 1102226791, 1129119819, 1136972771, 1140806899, 1151271109, 1158590105, 1164151711, 1191610211, 1244556249, 1262588371, 1268239597, 1276450585, 1299963601, 1306276309, 1324715137, 1348964401, 1412889731, 1414608769, 1449600967, 1455928891, 1495619759, 1518477085, 1539866809, 1586031409, 1614365473, 1615067791, 1637505339, 1640582839, 1640591017, 1641183305, 1659996371, 1667082529, 1674819721, 1675383631, 1715605681, 1743564961, 1743855049, 1748351011, 1793680361, 1813376689, 1826139169, 1886676121, 2016369161, 2038542729, 2050620661, 2154988109, 2190901987, 2194078033, 2219965885, 2225685529, 2242036505, 2279335659, 2279884349, 2289981241, 2301745249, 2307778289, 2309125085, 2400112121, 2423890585, 2659890241, 2709852103, 2748840281, 2812661659, 2960089189, 2972190761, 2974949209, 3020799259, 3164104819, 3221257085, 3394026439, 3472944211, 3481730585, 3492435179, 3543047209, 3559229569, 3632325085, 3728382589, 3764839331, 3871130937, 3916728211, 4110034585, 4138778957, 4143291485, 4147129841, 4170899461, 4183998729, 4263791959, 4277379709, 4441014181, 4547166601, 4569785479, 4859411289, 4978601097, 5038919979, 5165487199, 5180590981, 5213778037, 5226353885, 5282265793, 5339894761, 5339947879, 5542870939, 5568193961, 5666384905, 5694879799, 5789613817, 5851234681, 5879848969, 6044255485, 6087249305, 6101471689, 6117620389, 6154662709, 6192117463, 6217453085, 6234117391, 6278206481, 6349784379, 6501404989, 6517127953, 6585826301, 6650251489, 6708383011, 6760613399, 6914878129, 6930157429, 7010842411, 7044296281, 7130443159, 7200759409, 7330282961, 7348575649, 7469664729, 7509370121, 7534916761, 7559985223, 7730810221, 7778780353, 7865839129, 7871298611, 8187154585, 8243864569, 8277624793, 8348185819, 8641410913, 8657319259, 8691633217, 8926716889, 8952813689, 9013446721, 9054349841, 9067727787, 9110311489, 9115777783, 9153216689, 9225913085, 9278421769, 9478765447, 9531357049, 9624742921, 9652464361, 9692605801, 9810113209, 9855654089, 9856200761, 9925219805, 10077765769, 10167084209, 10184909659, 10283096409, 10311833251, 10479201657, 10611175909, 10698325639, 10735275881, 10821351979, 10838219401, 11160127441, 11247820759, 11346205609, 11366933131, 11585424313, 11732139049, 11746422361, 11759151385, 11986605961, 12098215429, 12171272059, 12222787609, 12400061059, 12440346185, 12479816371, 12509980499, 12564570721, 12690860379, 12735900289, 12770699239, 12986373961, 13029841441, 13078092481, 13079177569, 13254648793, 13259685129, 13510685885, 13658595497, 13725848369, 13955446205, 14040243481, 14084231019, 14221248371, 14447821929, 14480424841, 14629980199, 14684898709, 14942269977, 15030947485, 15031011241, 15452754269, 15498062839, 15518134369, 15642681619, 15811322689, 15920790281, 16113640667, 16122019369, 16222456009, 16227462057, 16292245177, 16326149405, 16399006681, 16501875337, 16527263369, 16896808347, 16974900769, 17086366985, 17130058219, 17141908699, 17186116177, 17460116023, 17832756943, 18511865209, 18859456585, 18870656953, 18951192605, 18955516609, 18999242011, 19443808993, 19487842291, 19715531561, 19742778857, 19898997449, 20042866351, 20129056711, 20522943379, 20987583819, 21062533889, 21515221081, 21820353731, 22024971809, 22266935979, 22727176201, 22765299785, 22785447691, 23228252929, 23382858919, 23426237069, 23691113491, 23926664605, 23966318489, 24069892121, 24117279229, 24281829339, 24358575485, 24441518809, 24629028747, 24644476423, 25349312585, 25455578113, 25619904919, 25773345613, 26168577769, 26933878399, 26966811129, 27041372471, 27059617085, 27278026129, 27320146681, 27339094617, 27496251451, 27736355089, 27995264983, 28010687569, 28166983489, 28361573785, 28398933289, 28608920089, 28877917873, 29115769789, 29191946393, 29329954081, 29481412559, 29611230121, 29842766619, 29961353569, 30328881305, 30457991929, 30513088039, 30961811005, 31252080777, 31297807729, 32028855251, 32123162185, 32916256809, 32982255649, 33373559569, 33382122409, 33676321771, 33687886009, 33715496519, 34325216809, 34387241729, 34633253089, 34945134205, 35176894513, 35240819101, 35361280585, 35376563089, 35732398969, 35744803179, 35894813221, 36062829937, 36314127739, 36622579961, 36623071489, 36772274585, 36811632961, 36825331879, 36941867299, 36949468249, 37001838329, 37035472369, 37049946529, 37329650461, 37701550321, 38177322479, 38356861411, 38368399609, 38427198769, 38930058649, 38967269307, 40124858209, 40284176359, 40334231071, 40405589979, 40406711489, 40509227011, 40598826217, 40892779419, 40928444929, 41475289633, 41882878241, 41999815513, 42004845697, 42005625085, 42091988743, 42321696529, 42718639177, 42740642131, 42749039089, 43015831159, 43108560905, 43197819211, 44319075631, 44441688649, 44480201239, 45135348889, 45275069911, 45426093931, 45445771481, 45892640089, 47523935561, 47703457099, 48339438679, 48674377081, 49228857627, 49608449885, 49863902599, 50063838729, 50379089719, 50873669009, 50896218997, 50909186161, 51195800585, 51908793949, 52475323159, 53544900199, 54285827005, 54843712585, 55583176121.

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 9607 values, from 105 to 999965521635409).

n\r 0  1 
209607 2 
361570201972 3 
40683002777 4 
576531038246334282 5 
607020061501972 6 
775936581193248149510991155 7 
805490015040134001273 8 
904420647014196976151181628 9 
100310306330765082404282 10 
11581139198778611941042752440769879786

A pictorial representation of the table above
motab
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.