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# Listed below are 43 terms > 2*10^11 that are k-imperfect (A127724).
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# 2 of the terms (62549517598720 and 3074457344902430720) are 2-imperfect (A127725).
# The other 41 terms are 3-imperfect (A127726).
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# Calculated by Donovan Johnson, Feb 07 2013
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#
566341372800 = 2^7*3^4*5^2*7^2*17*43*61
676447027200 = 2^15*3^3*5^2*7*17*257
1401820992000 = 2^9*3^4*5^3*11*13*31*61
1422467373600 = 2^5*3^6*5^2*7^3*13*547
1769199213600 = 2^5*3^5*5^2*7^3*13^2*157
10463865984000 = 2^10*3^3*5^3*11*13*31*683
13574037012480 = 2^15*3^2*5*7^2*17*43*257
15634517184000 = 2^9*3^3*5^3*11*13^2*31*157
19954883520000 = 2^9*3^3*5^4*11*13*31*521
62549517598720 = 2^16*5*17*257*43691
122332194129600 = 2^6*3^6*5^2*7^3*13*43*547
123789805977600 = 2^15*3^4*5^2*7*17*61*257
152151132369600 = 2^6*3^5*5^2*7^3*13^2*43*157
187648552796160 = 2^16*3*5*17*257*43691
203610555187200 = 2^15*3^3*5^2*7^2*17*43*257
1914887475072000 = 2^10*3^4*5^3*11*13*31*61*683
2861116644672000 = 2^9*3^4*5^3*11*13^2*31*61*157
2903255909517600 = 2^5*3^6*5^2*7^3*13^2*157*547
3651743684160000 = 2^9*3^4*5^4*11*13*31*61*521
3940619608719360 = 2^16*3^2*5*7*17*257*43691
21356750473344000 = 2^10*3^3*5^3*11*13^2*31*157*683
27258370888320000 = 2^10*3^3*5^4*11*13*31*521*683
37260731599257600 = 2^15*3^4*5^2*7^2*17*43*61*257
40727917264320000 = 2^9*3^3*5^4*11*13^2*31*157*521
59109294130790400 = 2^16*3^3*5^2*7*17*257*43691
249680008218513600 = 2^6*3^6*5^2*7^3*13^2*43*157*547
1186126502224527360 = 2^16*3^2*5*7^2*17*43*257*43691
3074457344902430720 = 2^31*5*17*257*65537 (found by T. D. Noe)
3908285336621952000 = 2^10*3^4*5^3*11*13^2*31*61*157*683
4988281872562560000 = 2^10*3^4*5^4*11*13*31*61*521*683
7453208859370560000 = 2^9*3^4*5^4*11*13^2*31*61*157*521
9223372034707292160 = 2^31*3*5*17*257*65537 (found by T. D. Noe)
10817000825934643200 = 2^16*3^4*5^2*7*17*61*257*43691
17791897533367910400 = 2^16*3^3*5^2*7^2*17*43*257*43691
55634334983061120000 = 2^10*3^3*5^4*11*13^2*31*157*521*683
193690812728853135360 = 2^31*3^2*5*7*17*257*65537
2905362190932797030400 = 2^31*3^3*5^2*7*17*257*65537
3255917248606327603200 = 2^16*3^4*5^2*7^2*17*43*61*257*43691
10181083301900184960000 = 2^10*3^4*5^4*11*13^2*31*61*157*521*683
58300934631384793743360 = 2^31*3^2*5*7^2*17*43*257*65537
531681280940701856563200 = 2^31*3^4*5^2*7*17*61*257*65537
874514019470771906150400 = 2^31*3^3*5^2*7^2*17*43*257*65537
160036065563151258825523200 = 2^31*3^4*5^2*7^2*17*43*61*257*65537