A183196
Total number of digits in the numbers involved in generating A183194.
Original entry on oeis.org
16, 36, 36, 97, 97, 97, 6314, 24404, 24404, 180346, 871640, 871640, 1817221, 3893939, 3893939, 79665948, 1046312296, 1046312296, 1046312296, 1046312296, 1046312296, 4754824913842, 6377067475119, 6377067475119
Offset: 1
a(2)=36 since A019518(2)=20 and A183195(20)=235...616771 has 36 digits.
A183195
Pi function of the primes given in A183194.
Original entry on oeis.org
10, 20, 20, 52, 52, 52, 1548, 5166, 5166, 31894, 137308, 137308, 272391, 569065, 569065, 9575722, 110367538, 110367538, 110367538, 110367538, 110367538, 59775617846, 184563607175, 184563607175
Offset: 1
A185656
Final prime in first term of A019518 that is divisible by 7^n.
Original entry on oeis.org
11, 601, 601, 601, 107839, 577937, 8341631, 8341631, 8341631, 8341631, 8341631, 166778433637, 4054944029077, 58520914386689
Offset: 1
None of the numbers 2, 23, 235, and 2357 are divisible by 11, but 235711 is divisible by 7, so a(1)=11.
Not until the concatenation through 601 is such a number divisible by 7^2, so a(2)=601.
Cf.
A183194 and immediately following entries.
A185659
Final prime of first member of A019518 that is divisible by 11^n.
Original entry on oeis.org
17, 499, 13679, 221489, 712289, 7648813, 604578017, 7868766709
Offset: 1
2357111317 is divisible by 11, and concatenation through 499 is required for divisibility by 11^2.
A185662
Final prime of first member of A019518 that is divisible by 13^n.
Original entry on oeis.org
61, 149, 199, 349493, 5709623, 100776157, 1142774723
Offset: 1
The concatenations short of the one ending with 61 are not divisible by 13, while that one is.
A185665
Final prime of first member of A019518 that is divisible by 17^n.
Original entry on oeis.org
31, 1699, 1699, 901997, 24839599, 403445719, 2668745609
Offset: 1
235711131719232931 is divisible by 17.
A185671
Final prime of first member of A019518 that is divisible by 23^n.
Original entry on oeis.org
3, 5861, 58573, 3916021, 284728111, 1910245261
Offset: 1
While the very first concatenation is divisible by 23, 23^2 does not divide any such number until 5861 is adjoined.
A185668
Final prime of first member of A019518 that is divisible by 19^n.
Original entry on oeis.org
271, 1831, 66947, 3746299, 66478091, 66478091, 57260418041
Offset: 1
The first concatenation of primes--23, 235, 2357, 235711, etc.--that is divisible by 19 concatenates through 271, and to get divisibility by 19^2 it's necessary to go through 1831.
A185719
Final prime of the first member of A019518 that is divisible by 43^n.
Original entry on oeis.org
211, 4051, 398261, 35912593, 5355284791
Offset: 1
The number 2357...199211 is the first term in A019518 divisible by 43^1, therefore a(1) = 211.
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a(n,m=43)={ my(s=10,p=2); n=Mod(0,m^n); while(n=n*s+p,(p=nextprime(p+1))>s & s*=10) ;p} \\ M. F. Hasler, Feb 08 2011
Showing 1-9 of 9 results.