Unexhaustive list of 383 terms q: 1 (1 terms) 1 () q: 2 (2 terms) 2 (2) 9 (3^2) q: 3 (4 terms) 8 (2^3) 10 (2*5) 21 (3*7) 512 (2^9) q: 4 (8 terms) 15 (3*5) 18 (2*3^2) 324 (2^2*3^4) 1023 (3*11*31) 1404 (2^2*3^3*13) 3276 (2^2*3^2*7*13) 8925 (3*5^2*7*17) 15345 (3^2*5*11*31) q: 5 (9 terms) 24 (2^3*3) 30 (2*3*5) 144 (2^4*3^2) 288 (2^5*3^2) 1428 (2^2*3*7*17) 1536 (2^9*3) 2046 (2*3*11*31) 14976 (2^7*3^2*13) 23040 (2^9*3^2*5) q: 6 (13 terms) 42 (2*3*7) 60 (2^2*3*5) 160 (2^5*5) 270 (2*3^3*5) 630 (2*3^2*5*7) 2880 (2^6*3^2*5) 4092 (2^2*3*11*31) 4608 (2^9*3^2) 11550 (2*3*5^2*7*11) 35700 (2^2*3*5^2*7*17) 410000 (2^4*5^4*41) 50918400 (2^10*3^2*5^2*13*17) 673254400 (2^10*5^2*7*13*17^2) q: 7 (14 terms) 240 (2^4*3*5) 1200 (2^4*3*5^2) 2400 (2^5*3*5^2) 16368 (2^4*3*11*31) 82944 (2^10*3^4) 139968 (2^6*3^7) 326592 (2^6*3^6*7) 359424 (2^10*3^3*13) 748800 (2^8*3^2*5^2*13) 838656 (2^10*3^2*7*13) 2895984 (2^4*3^2*7*13^2*17) 10723328 (2^13*7*11*17) 171196416 (2^14*3^5*43) 106221772800 (2^13*3^2*5^2*11*13^2*31) q: 8 (20 terms) 648 (2^3*3^4) 2808 (2^3*3^3*13) 3570 (2*3*5*7*17) 6552 (2^3*3^2*7*13) 17850 (2*3*5^2*7*17) 30690 (2*3^2*5*11*31) 41472 (2^9*3^4) 225680 (2^4*5*7*13*31) 390320 (2^4*5*7*17*41) 449820 (2^2*3^3*5*7^2*17) 1128400 (2^4*5^2*7*13*31) 1474470 (2*3^3*5*43*127) 1801800 (2^3*3^2*5^2*7*11*13) 2829060 (2^2*3^3*5*13^2*31) 3022500 (2^2*3*5^4*13*31) 522746224 (2^4*7*11*13*127*257) 887978000 (2^4*5^3*7^2*13*17*41) 1062892908 (2^2*3^3*7^2*11*19*31^2) 19331910000 (2^4*3^2*5^4*13^2*31*41) 278065382400 (2^10*3^2*5^2*13*17*43*127) q: 9 (35 terms) 168 (2^3*3*7) 960 (2^6*3*5) 10368 (2^7*3^4) 10752 (2^9*3*7) 44928 (2^7*3^3*13) 46200 (2^3*3*5^2*7*11) 52920 (2^3*3^3*5*7^2) 65472 (2^6*3*11*31) 69120 (2^9*3^3*5) 104832 (2^7*3^2*7*13) 161280 (2^9*3^2*5*7) 360000 (2^6*3^2*5^4) 571200 (2^6*3*5^2*7*17) 982080 (2^6*3^2*5*11*31) 2176000 (2^10*5^3*17) 2257920 (2^10*3^2*5*7^2) 2956800 (2^9*3*5^2*7*11) 4055040 (2^13*3^2*5*11) 9369360 (2^4*3^2*5*7*11*13^2) 13434624 (2^8*3^2*7^3*17) 18054400 (2^8*5^2*7*13*31) 28828800 (2^7*3^2*5^2*7*11*13) 148403200 (2^10*5^2*11*17*31) 153990144 (2^10*3^2*7^2*11*31) 187765760 (2^10*5*7*13^2*31) 769600000 (2^9*5^5*13*37) 7129881600 (2^10*3*5^2*17*43*127) 7398300672 (2^10*3^3*7^2*43*127) 166092226560 (2^14*3^2*5*13^2*31*43) 177448960000 (2^14*5^4*13*31*43) 2850878963712 (2^14*3*13*19*43^2*127) 72992801423360 (2^25*5*7^2*13*683) 364964007116800 (2^25*5^2*7^2*13*683) 385580683252800 (2^6*3^4*5^2*7*19*2731*8191) 1670849627428800 (2^6*3^3*5^2*7*13*19*2731*8191) q: 10 (30 terms) 480 (2^5*3*5) 2856 (2^3*3*7*17) 13824 (2^9*3^3) 32736 (2^5*3*11*31) 33264 (2^4*3^3*7*11) 74256 (2^4*3*7*13*17) 149760 (2^8*3^2*5*13) 182784 (2^9*3*7*17) 1782144 (2^7*3^2*7*13*17) 5658120 (2^3*3^3*5*13^2*31) 10213632 (2^8*3^2*11*13*31) 46126080 (2^10*3^2*5*7*11*13) 96509952 (2^13*3^2*7*11*17) 148599360 (2^6*3^6*5*7^2*13) 362119680 (2^9*3^3*5*13^2*31) 526156800 (2^10*3*5^2*13*17*31) 545965056 (2^10*3^3*7^2*13*31) 627720192 (2^14*3^4*11*43) 2125785816 (2^3*3^3*7^2*11*19*31^2) 21244354560 (2^13*3^2*5*11*13^2*31) 486395255808 (2^10*3^3*7^2*11*127*257) 738345374208 (2^9*3^2*13*37*43*61*127) 1849947724800 (2^10*3^6*5^2*7^3*17^2) 3582305195040 (2^5*3^2*5*11*13^2*41*127*257) 8656385024000 (2^13*5^3*7*37*127*257) 131844009443328 (2^14*3^6*7^2*13^2*31*43) 192790341626400 (2^5*3^4*5^2*7*19*2731*8191) 835424813714400 (2^5*3^3*5^2*7*13*19*2731*8191) 385586304629760000 (2^13*3^2*5^4*13^2*37*41*127*257) 1686762688526417920 (2^25*5*11*41*127*257*683) q: 11 (16 terms) 321408 (2^7*3^4*31) 1392768 (2^7*3^3*13*31) 2142720 (2^9*3^3*5*31) 3628800 (2^8*3^4*5^2*7) 14622720 (2^13*3*5*7*17) 15724800 (2^8*3^3*5^2*7*13) 73113600 (2^13*3*5^2*7*17) 125706240 (2^13*3^2*5*11*31) 3509345280 (2^10*3*5*7*127*257) 6039429120 (2^13*3^3*5*43*127) 35665920000 (2^14*3^4*5^4*43) 227322368000 (2^12*5^3*7^2*13*17*41) 3104266567680 (2^14*3^3*5*43*127*257) 4948968960000 (2^12*3^2*5^4*13^2*31*41) 10512977126400 (2^10*3^3*5^2*7^2*17*19*31^2) 4195772006400000 (2^26*3^4*5^5*13*19) q: 12 (55 terms) 4320 (2^5*3^3*5) 10080 (2^5*3^2*5*7) 14280 (2^3*3*5*7*17) 36960 (2^5*3*5*7*11) 71400 (2^3*3*5^2*7*17) 184800 (2^5*3*5^2*7*11) 342720 (2^6*3^2*5*7*17) 720720 (2^4*3^2*5*7*11*13) 913920 (2^9*3*5*7*17) 4569600 (2^9*3*5^2*7*17) 7856640 (2^9*3^2*5*11*31) 8910720 (2^7*3^2*5*7*13*17) 11531520 (2^8*3^2*5*7*11*13) 13219200 (2^7*3^5*5^2*17) 14443520 (2^10*5*7*13*31) 22932000 (2^5*3^2*5^3*7^2*13) 28959840 (2^5*3^2*5*7*13^2*17) 44553600 (2^7*3^2*5^2*7*13*17) 48360000 (2^6*3*5^4*13*31) 56619648 (2^7*3^4*43*127) 57657600 (2^8*3^2*5^2*7*11*13) 84084000 (2^5*3*5^3*7^2*11*13) 164633040 (2^4*3^3*5*11*13^2*41) 245351808 (2^7*3^3*13*43*127) 297198720 (2^7*3^6*5*7^2*13) 779688000 (2^6*3^2*5^3*7^2*13*17) 1279184640 (2^8*3*5*43*61*127) 12776325120 (2^14*3^2*5*13*31*43) 12867599360 (2^10*5*7*11*127*257) 22144573440 (2^13*3^2*5*11*43*127) 55057968000 (2^7*3^5*5^3*7^2*17^2) 102600576000 (2^10*3^2*5^3*13^2*17*31) 113742720000 (2^10*3^2*5^4*7^2*13*31) 121598813952 (2^8*3^3*7^2*11*127*257) 380077006848 (2^13*3*7*11^2*19*31^2) 477655326720 (2^13*3^2*5*11*13^2*17*41) 670926110400 (2^6*3^7*5^2*7^3*13*43) 795726360000 (2^6*3^2*5^4*11*13^2*29*41) 7709516559360 (2^10*3^2*5*7^2*11*17*19*31^2) 11382310748160 (2^14*3^2*5*11*43*127*257) 14037838617600 (2^10*3^7*5^2*7^3*17*43) 27760830224400 (2^4*3^3*5^2*7^2*13^2*17*19*31^2) 36287409600000 (2^9*3^2*5^5*13^3*31*37) 38547582796800 (2^10*3^2*5^2*7^2*11*17*19*31^2) 46171933624960 (2^7*5*11*13^2*29*41*127*257) 70230617600000 (2^12*5^5*11*13*17*37*61) 119724257157120 (2^13*3^3*5*7^2*11^2*19*31^2) 379608719360000 (2^16*5^4*13^2*29*31*61) 849382560000000 (2^11*3^2*5^7*13*17^2*157) 855095662512000 (2^7*3^2*5^3*7^2*13^2*29*79*313) 16439615834745600 (2^8*3^2*5^2*7^3*29*31*113*8191) 36131436704563200 (2^25*3^2*5^2*7^2*11*13*683) 649404240670763827200 (2^14*3^6*5^2*7*17*19*43*2731*8191) 39887491844324122951680 (2^25*3^2*5*7*13*19*683*2731*8191) 199437459221620614758400 (2^25*3^2*5^2*7*13*19*683*2731*8191) q: 13 (20 terms) 57120 (2^5*3*5*7*17) 17821440 (2^8*3^2*5*7*13*17) 32006016 (2^7*3^6*7^3) 33480000 (2^6*3^3*5^4*31) 129948000 (2^5*3*5^3*7^2*13*17) 202368000 (2^10*3*5^3*17*31) 209986560 (2^10*3^3*5*7^2*31) 942120960 (2^13*3*5*11*17*41) 1505520000 (2^7*3^3*5^4*17*41) 1948320000 (2^8*3^3*5^4*11*41) 71572800000 (2^9*3*5^5*13*31*37) 249661440000 (2^14*3^4*5^4*7*43) 48621196800000 (2^12*3^2*5^5*11*17*37*61) 49060559923200 (2^11*3^2*5^2*7^3*17*19*31^2) 3619317346799616 (2^12*3^3*7*11*19*2731*8191) 4164271379130240 (2^7*3^7*5*7*19*2731*8191) 29370404044800000 (2^26*3^4*5^5*7*13*19) 55839493088870400 (2^25*3^2*5^2*7^2*13*17*683) 1900141607069798400 (2^12*3^4*5^2*7^2*11*19*2731*8191) 6739232825345971322880000 (2^25*3^3*5^4*19*41*683*2731*8191) q: 14 (25 terms) 103680 (2^8*3^4*5) 217728 (2^7*3^5*7) 449280 (2^8*3^3*5*13) 108732000 (2^5*3*5^3*13*17*41) 115153920 (2^10*3^3*5*7^2*17) 297872640 (2^8*3^4*5*13^2*17) 298721280 (2^13*3*5*11*13*17) 724239360 (2^10*3^3*5*13^2*31) 773760000 (2^10*3*5^4*13*31) 1165933440 (2^7*3^7*5*7^2*17) 1508855040 (2^8*3^7*5*7^2*11) 3053635200 (2^7*3^6*5^2*7*11*17) 3567037824 (2^7*3^6*7*43*127) 5829667200 (2^7*3^7*5^2*7^2*17) 7544275200 (2^8*3^7*5^2*7^2*11) 972790511616 (2^11*3^3*7^2*11*127*257) 9113641205760 (2^14*3^7*5*7*13^2*43) 147490761600000 (2^10*3^4*5^5*7*13^3*37) 161544261755520 (2^7*3^8*5*7^2*19*31^2*43) 2793779421511680 (2^25*3^4*5*7*43*683) 13968897107558400 (2^25*3^4*5^2*7*43*683) 17970323521536000 (2^25*3^2*5^3*17*41*683) 6355848183939072000 (2^25*3^4*5^3*7^2*13*43*683) 5219124894399641010831360 (2^25*3^7*5*7^2*19*683*2731*8191) 26095624471998205054156800 (2^25*3^7*5^2*7^2*19*683*2731*8191) q: 15 (14 terms) 1827840 (2^10*3*5*7*17) 181059840 (2^8*3^3*5*13^2*31) 754427520 (2^7*3^7*5*7^2*11) 1616855040 (2^14*3^3*5*17*43) 6558714240 (2^7*3*5*13^2*17*29*41) 68025146112 (2^8*3^3*7^2*11*19*31^2) 190038503424 (2^12*3*7*11^2*19*31^2) 610443025920 (2^9*3^3*5*7*13*37*43*61) 1922857429248 (2^8*3^7*7^3*17*19*31) 21213233233920 (2^14*3^4*5*7*13*19*43^2) 86467519057920 (2^12*3*5*7^2*11^2*13*19*31^2) 160323474554880000 (2^25*3*5^4*7*13*41*683) 6258796599942432000 (2^8*3^2*5^3*7^2*13*29*31*41*113*8191) 30834116078359910400 (2^11*3^5*5^2*7^3*17*19*2731*8191) q: 16 (28 terms) 23591520 (2^5*3^3*5*43*127) 166333440 (2^10*3*5*7^2*13*17) 243540000 (2^5*3^3*5^4*11*41) 594397440 (2^8*3^6*5*7^2*13) 3102010560 (2^6*3^3*5*11*127*257) 6022080000 (2^9*3^3*5^4*17*41) 10985103360 (2^13*3^4*5*7*11*43) 11798136000 (2^6*3^6*5^3*7*17^2) 12984192000 (2^10*3^3*5^3*13*17^2) 25261891200 (2^7*3^6*5^2*7^2*13*17) 72190051200 (2^7*3^5*5^2*17*43*127) 110115936000 (2^8*3^5*5^3*7^2*17^2) 208510848000 (2^10*3^4*5^3*7*13^2*17) 260308928880 (2^4*3^6*5*7^4*11*13^2) 1623002209920 (2^7*3^6*5*7^2*13*43*127) 2518553399040 (2^8*3^7*5*7^3*43*61) 4164942862080 (2^8*3^6*5*7^4*11*13^2) 6184470528000 (2^14*3^5*5^3*17^2*43) 24991110144000 (2^13*3^4*5^3*7^2*11*13*43) 34167175660800 (2^8*3^3*5^2*7^2*13*17*19*31^2) 219969739395000 (2^3*3^7*5^4*7^2*17*19*31*41) 462486931200000 (2^11*3^6*5^5*7^3*17^2) 915016030929000 (2^3*3^4*5^3*7*11*13^2*31*41*683) 10827105585738624 (2^7*3^7*7*13*19*2731*8191) 10380443141367936000 (2^10*3^2*5^3*7^2*13*17*29*31*113*8191) 11955092457580272000 (2^7*3^2*5^3*7^2*11*13^2*29*31*41*79*313) 20521529356353822720 (2^13*3^7*5*7^2*11*19*2731*8191) 125175931998848640000 (2^10*3^2*5^4*7^2*13*29*31*41*113*8191) q: 17 (6 terms) 898128000 (2^7*3^6*5^3*7*11) 2262185210880 (2^10*3^7*5*7^3*19*31) 899826278400000 (2^16*3^7*5^5*7^2*41) 3931962841497600 (2^20*3^6*5^2*7^2*13*17*19) 4154885657395200 (2^16*3^6*5^2*7^2*13*43*127) 56032733469081600 (2^19*3^5*5^2*7^2*11*127*257) q: 18 (13 terms) 374250240 (2^8*3^3*5*7^2*13*17) 4070926080 (2^8*3^3*5*13^2*17*41) 1081866240000 (2^14*3^3*5^4*7*13*43) 4388551440000 (2^7*3*5^4*7*13^3*29*41) 10151731200000 (2^16*3*5^5*13*31*41) 3519515830320000 (2^7*3^7*5^4*7^2*17*19*31*41) 14293835652096000 (2^13*3^4*5^3*7*11*13^2*17*19*41) 47371773216768000 (2^14*3*5^3*7*11*13*17*41*43*257) 196632434718720000 (2^14*3^3*5^4*7*11*13^2*31*41*43) 521889487257600000 (2^26*3^5*5^5*7^2*11*19) 41154544407674880000000 (2^26*3^5*5^7*7^2*13*17*19*157) 179079267153346560000000 (2^26*3^2*5^7*7*11*13*19*31*41*157) 867845679281602560000000 (2^26*3^4*5^7*7^2*11*19*31*41*157) q: 19 (17 terms) 5235707393280 (2^8*3^8*5*7*13^2*17*31) 1312277381775360 (2^20*3^6*5*7^4*11*13) 2889707734368000 (2^8*3^8*5^3*7^2*13*17*31*41) 3923981107200000 (2^26*3^5*5^5*7*11) 17590360080384000 (2^20*3^6*5^3*7^2*13*17^2) 71416456151040000 (2^26*3^5*5^4*7^2*11*13) 137253501665280000 (2^20*3^6*5^4*7^2*11*13*41) 728447852740608000 (2^26*3^6*5^3*7^2*11*13*17) 850920582634536960 (2^26*3^6*5*7^2*13*43*127) 309432664719360000000 (2^26*3^5*5^7*7*13*17*157) 1147419926460557568000 (2^11*3^5*5^3*7*13^2*17*41*2731*8191) 5560573489770394368000 (2^11*3^7*5^3*7^2*13*17*41*2731*8191) 6525155483320320000000 (2^26*3^4*5^7*7*11*31*41*157) 28275673761054720000000 (2^26*3^3*5^7*7*11*13*31*41*157) 394202884259425812480000 (2^26*3^5*5^4*7*13*19*2731*8191) 4020869419446143287296000 (2^26*3^6*5^3*7*13*17*19*2731*8191) 56240315110737838080000000 (2^26*3^5*5^7*7*11*13^2*17*31*41*157) q: 20 (20 terms) 11975040 (2^7*3^5*5*7*11) 22707412992000 (2^16*3^5*5^3*11*17*61) 83352211488000 (2^8*3^5*5^3*7*13^3*17*41) 6198459365210112 (2^11*3^4*7*11*13*31*41*43*683) 12762901831680000 (2^16*3^6*5^4*7^2*11*13*61) 18318429073002240 (2^8*3^3*5*7^2*13*29*31*113*8191) 27046872373248000 (2^14*3^5*5^3*7*13*17*19*43^2) 61488630489686400 (2^7*3^7*5^2*7^3*11*13*17*41*257) 70761239725176000 (2^6*3^3*5^3*7*11*13^2*29*31*41*683) 310231460107296000 (2^8*3^4*5^3*7^3*13*29*113*8191) 595971056698617600 (2^8*3^7*5^2*7^3*11*13*31*41*683) 3374558535452832000 (2^8*3^4*5^3*7*13^2*29*41*113*8191) 3384172662334464000 (2^13*3*5^3*7*11*13*29*41*113*8191) 1519607056502101432320 (2^11*3^3*5*7^2*13^2*29*79*113*313*8191) 5350707746254828339200 (2^25*3^6*5^2*7^3*13^3*17*683) 24816630949824430080000 (2^25*3^6*5^4*7^3*13^2*41*683) 29924569728041382051840 (2^19*3^3*5*7^2*13*29*79*113*313*8191) 149622848640206910259200 (2^19*3^3*5^2*7^2*13*29*79*113*313*8191) 23178239410402492416000000 (2^34*3^5*5^6*7^2*11*13*17*19*157) 297599845945371544505548800 (2^19*3^5*5^2*7^2*13^2*17*29*79*113*313*8191) q: 21 (13 terms) 49110437376000 (2^12*3^4*5^3*7^2*11*13^3) 55616579665920 (2^15*3^6*5*7^2*13*17*43) 117028454400000 (2^18*3^3*5^5*11*13*37) 508842250076160 (2^20*3^6*5*7^2*11*13*19) 2205627750144000 (2^11*3^5*5^3*7*13^2*17*41*43) 2719474974720000 (2^19*3^5*5^4*7^2*17*41) 10688811404544000 (2^11*3^7*5^3*7^2*13*17*41*43) 757756424355840000 (2^26*3^5*5^4*7*13*19*43) 3279650952314880000 (2^28*3^3*5^4*11*13*61*83) 5223657114147225600 (2^20*3^7*5^2*7^3*11*19*31*41) 7729115528429568000 (2^26*3^6*5^3*7*13*17*19*43) 578949404531097600000 (2^34*3^4*5^5*7^2*11*13*19) 10113402365703065331302400000 (2^34*3^2*5^5*7*11*13*19*29*41*113*8191) q: 22 (3 terms) 106780561395056640 (2^15*3^6*5*7^2*13*43*127*257) 18789539765236531200000 (2^34*3^5*5^5*7^3*13*17*19) 396224065547167334400000 (2^34*3^4*5^5*7^3*11*19*31*41) q: 23 (0 terms) q: 24 (9 terms) 1099525819392000 (2^13*3^4*5^3*7*11*13*17*19*41) 1126173576528000 (2^7*3^4*5^3*7*11*13*31*41*683) 10389804131266560 (2^12*3^5*5*7^2*11*13^3*41*43) 15125571901440000 (2^14*3^3*5^4*7*11*13*31*41*43) 81884191334400000 (2^16*3^7*5^5*7^3*13*41) 2636902027468800000 (2^16*3^3*5^5*7^2*13*19*31^2*41) 18802238909621207040000 (2^28*3^5*5^4*7^2*11*13^2*61*83) 191782836878136311808000 (2^28*3^6*5^3*7^2*11*13^2*17*61*83) 575381685363702497280000000 (2^26*3^5*5^7*7^2*11*13*17*19*31*41*157) q: 25 (5 terms) 41252767395840 (2^12*3^5*5*7^3*11*13^3) 5074090389688320 (2^12*3^6*5*7^3*11*13^3*41) 1004552210517016202496000 (2^11*3^5*5^3*7^3*13^2*17*31*37*109*131071) 123559921893592992907008000 (2^11*3^6*5^3*7^3*13^2*17*31*37*41*109*131071) 42449740035082136982650880000 (2^26*3^6*5^4*7^3*13*19*31*37*109*131071) q: 26 (3 terms) 202768780032000 (2^11*3^5*5^3*7^3*13*17*43) 24940559943936000 (2^11*3^6*5^3*7^3*13*17*41*43) 2525269508589784320000 (2^11*3^3*5^4*7^3*13*31*37*109*131071)