A342852 a(n) = A342068(10^n).

2, 5, 5, 7, 8, 12, 33, 52, 93, 236, 479, 1265, 2782, 6650, 15539

Offset

0,1

Comments

In the table in the Example section, the numbers in the columns for n = 0..9 are the first a(n) terms of A010051, A038800, A038822, ..., A038829, respectively; each column ends at the first term that is greater than the term above it.

a(n) >= a(n-1)/10. - Chai Wah Wu, Mar 25 2021

Links

Table of n, a(n) for n=0..14.

Example

Number of primes in the interval [(k-1)*10^n + 1, k*10^n]:
.
   k\n| 0 1  2   3    4    5     6      7       8        9
  ----+---------------------------------------------------
    1 | 0 4 25 168 1229 9592 78498 664579 5761455 50847534
    2 | 1 4 21 135 1033 8392 70435 606028 5317482 47374753
    3 |   2 16 127  983 8013 67883 587252 5173388 46227250
    4 |   2 16 120  958 7863 66330 575795 5084001 45512275
    5 |   3 17 119  930 7678 65367 567480 5019541 44992411
    6 |        114  924 7560 64336 560981 4968836 44591145
    7 |        117  878 7445 63799 555949 4928228 44258984
    8 |             902 7408 63129 551318 4893248 43979302
    9 |                 7323 62712 547572 4863036 43739541
   10 |                 7224 62090 544501 4838319 43529316
   11 |                 7216 61938 541854 4814936 43336106
   12 |                 7224 61543 538339 4792235 43167234
   13 |                      61192 536539 4773628 43014349
   14 |                      60825 534012 4757140 42870136
   15 |                      60627 532197 4741055 42740180
  ... |                        ...    ...     ...      ...
   32 |                      57836 510685 4572164 41368791
   33 |                      57852 510269 4565024 41316074
  ... |                               ...     ...      ...
   51 |                            498385 4475770 40575830
   52 |                            498435 4472349 40547028
  ... |                                       ...      ...
   92 |                                   4357534 39621606
   93 |                                   4360247 39603089
  ... |                                                ...
  235 |                                           38196269
  236 |                                           38197686

Crossrefs

Cf. A010051, A038800, A038822, A038823, A038824, A038825, A038826, A038827, A038828, A038829, A342068.

Sequence in context: A082087 A263317 A256300 * A023850 A175649 A240497

Adjacent sequences: A342849 A342850 A342851 * A342853 A342854 A342855

Keyword

nonn,hard,more

Author

Jon E. Schoenfield, Mar 24 2021

Extensions

a(10)-a(12) from Chai Wah Wu, Mar 25 2021

a(13)-a(14) from Chai Wah Wu, Mar 31 2021

Status

approved