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%I #20 Mar 31 2021 11:19:24
%S 2,5,5,7,8,12,33,52,93,236,479,1265,2782,6650,15539
%N a(n) = A342068(10^n).
%C 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.
%C a(n) >= a(n-1)/10. - _Chai Wah Wu_, Mar 25 2021
%e Number of primes in the interval [(k-1)*10^n + 1, k*10^n]:
%e .
%e k\n| 0 1 2 3 4 5 6 7 8 9
%e ----+---------------------------------------------------
%e 1 | 0 4 25 168 1229 9592 78498 664579 5761455 50847534
%e 2 | 1 4 21 135 1033 8392 70435 606028 5317482 47374753
%e 3 | 2 16 127 983 8013 67883 587252 5173388 46227250
%e 4 | 2 16 120 958 7863 66330 575795 5084001 45512275
%e 5 | 3 17 119 930 7678 65367 567480 5019541 44992411
%e 6 | 114 924 7560 64336 560981 4968836 44591145
%e 7 | 117 878 7445 63799 555949 4928228 44258984
%e 8 | 902 7408 63129 551318 4893248 43979302
%e 9 | 7323 62712 547572 4863036 43739541
%e 10 | 7224 62090 544501 4838319 43529316
%e 11 | 7216 61938 541854 4814936 43336106
%e 12 | 7224 61543 538339 4792235 43167234
%e 13 | 61192 536539 4773628 43014349
%e 14 | 60825 534012 4757140 42870136
%e 15 | 60627 532197 4741055 42740180
%e ... | ... ... ... ...
%e 32 | 57836 510685 4572164 41368791
%e 33 | 57852 510269 4565024 41316074
%e ... | ... ... ...
%e 51 | 498385 4475770 40575830
%e 52 | 498435 4472349 40547028
%e ... | ... ...
%e 92 | 4357534 39621606
%e 93 | 4360247 39603089
%e ... | ...
%e 235 | 38196269
%e 236 | 38197686
%Y Cf. A010051, A038800, A038822, A038823, A038824, A038825, A038826, A038827, A038828, A038829, A342068.
%K nonn,hard,more
%O 0,1
%A _Jon E. Schoenfield_, Mar 24 2021
%E a(10)-a(12) from _Chai Wah Wu_, Mar 25 2021
%E a(13)-a(14) from _Chai Wah Wu_, Mar 31 2021
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