Comparison of single precision floating point result with exact result. f = 1 f0=n a(n) f <- f*f0 applied a(n) times n^a(n) 2.0 128 Infinity 340282366920938463463374607431768211456 3.0 16 43046720.0 43046721 4.0 64 Infinity 340282366920938463463374607431768211456 5.0 11 48828124.0 48828125 6.0 16 2821109841920.0 2821109907456 7.0 9 40353608.0 40353607 8.0 43 Infinity 680564733841876926926749214863536422912 9.0 8 43046720.0 43046721 10.0 11 99999997952.0 100000000000 11.0 7 19487172.0 19487171 12.0 16 184884254600069120.0 184884258895036416 13.0 7 62748516.0 62748517 14.0 9 20661047296.0 20661046784 15.0 7 170859376.0 170859375 16.0 32 Infinity 340282366920938463463374607431768211456 17.0 6 24137568.0 24137569 18.0 8 11019960320.0 11019960576 19.0 6 47045880.0 47045881 20.0 11 204799995805696.0 204800000000000 21.0 6 85766120.0 85766121 22.0 7 2494358016.0 2494357888 23.0 6 148035888.0 148035889 24.0 16 12116574509470129848320.0 12116574790945106558976 25.0 6 244140624.0 244140625 26.0 7 8031810048.0 8031810176 27.0 6 387420480.0 387420489 28.0 9 10578456215552.0 10578455953408 29.0 5 20511148.0 20511149 30.0 7 21870000128.0 21870000000 31.0 5 28629152.0 28629151 32.0 26 Infinity 1361129467683753853853498429727072845824 33.0 5 39135392.0 39135393 34.0 6 1544804352.0 1544804416 35.0 5 52521876.0 52521875 36.0 8 2821109841920.0 2821109907456 37.0 5 69343960.0 69343957 38.0 6 3010936320.0 3010936384 39.0 5 90224200.0 90224199 40.0 11 419430391410065408.0 419430400000000000 41.0 5 115856200.0 115856201 42.0 6 5489031680.0 5489031744 43.0 5 147008448.0 147008443 44.0 7 319277826048.0 319277809664 45.0 5 184528128.0 184528125 46.0 6 9474296832.0 9474296896 47.0 5 229345008.0 229345007 48.0 16 794071827052634429739499520.0 794071845499378503449051136 49.0 5 282475264.0 282475249 50.0 6 15624999936.0 15625000000 51.0 5 345025248.0 345025251 52.0 7 1028071686144.0 1028071702528 53.0 5 418195488.0 418195493 54.0 6 24794910720.0 24794911296 55.0 5 503284384.0 503284375 56.0 9 5416169582362624.0 5416169448144896 57.0 5 601692032.0 601692057 58.0 5 656356736.0 656356768 59.0 5 714924288.0 714924299 60.0 7 2799360016384.0 2799360000000 61.0 5 844596288.0 844596301 62.0 5 916132864.0 916132832 63.0 5 992436544.0 992436543 64.0 22 Infinity 5444517870735015415413993718908291383296 65.0 4 17850624.0 17850625 66.0 5 1252332544.0 1252332576 67.0 4 20151120.0 20151121 68.0 6 98867478528.0 98867482624 69.0 4 22667120.0 22667121 70.0 5 1680700032.0 1680700000 71.0 4 25411680.0 25411681 72.0 8 722204119531520.0 722204136308736 73.0 4 28398240.0 28398241 74.0 5 2219006720.0 2219006624 75.0 4 31640624.0 31640625 76.0 6 192699924480.0 192699928576 77.0 4 35153040.0 35153041 78.0 5 2887174400.0 2887174368 79.0 4 38950080.0 38950081 80.0 11 858993441607813955584.0 858993459200000000000 81.0 4 43046720.0 43046721 82.0 5 3707398400.0 3707398432 83.0 4 47458320.0 47458321 84.0 6 351298027520.0 351298031616 85.0 4 52200624.0 52200625 86.0 5 4704270336.0 4704270176 87.0 4 57289760.0 57289761 88.0 7 40867561734144.0 40867559636992 89.0 4 62742240.0 62742241 90.0 5 5904900096.0 5904900000 91.0 4 68574960.0 68574961 92.0 6 606354997248.0 606355001344 93.0 4 74805200.0 74805201 94.0 5 7339040256.0 7339040224 95.0 4 81450624.0 81450625 96.0 16 52040291257721449987407840542720.0 52040292466647269602037015248896 97.0 4 88529280.0 88529281 98.0 5 9039208448.0 9039207968 99.0 4 96059600.0 96059601 100.0 6 999999995904.0 1000000000000 101.0 4 104060400.0 104060401 102.0 5 11040807936.0 11040808032 103.0 4 112550880.0 112550881 104.0 7 131593175826432.0 131593177923584 105.0 4 121550624.0 121550625 106.0 5 13382255616.0 13382255776 107.0 4 131079600.0 131079601 108.0 6 1586874286080.0 1586874322944 109.0 4 141158160.0 141158161 110.0 5 16105100288.0 16105100000 111.0 4 151807040.0 151807041 112.0 9 2773078826169663488.0 2773078757450186752 113.0 4 163047360.0 163047361 114.0 5 19254145024.0 19254145824 115.0 4 174900624.0 174900625 116.0 5 21003415552.0 21003416576 117.0 4 187388720.0 187388721 118.0 5 22877577216.0 22877577568 119.0 4 200533920.0 200533921 120.0 7 358318082097152.0 358318080000000 121.0 4 214358880.0 214358881 122.0 5 27027081216.0 27027081632 123.0 4 228886640.0 228886641 124.0 5 29316251648.0 29316250624 125.0 4 244140624.0 244140625 126.0 5 31757969408.0 31757969376 127.0 4 260144640.0 260144641 128.0 19 Infinity 10889035741470030830827987437816582766592