login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A105347
Concatenation of the largest and the smallest n-digit primes (in that order).
0
72, 9711, 997101, 99731009, 9999110007, 999983100003, 99999911000003, 9999998910000019, 999999937100000007, 99999999671000000007, 9999999997710000000019, 999999999989100000000003, 99999999999711000000000039, 9999999999997310000000000037
OFFSET
1,1
EXAMPLE
The largest and smallest 1-digit primes are 7 and 2, so the first term is 72.
The largest and smallest 2-digit primes are 97 and 11, so the second term is 9711.
MAPLE
for n from 0 to 30 do for m from 1 to 10^(n+1)-1 do if isprime(10^(n+1) - m) then printf(`%d`, 10^(n+1)-m); break; fi: od: for m from 1 to 10^(n+1)-1 do if isprime(10^n + m) then printf(`%d`, 10^n+m); break; fi: od: printf(`, `): od: # James A. Sellers, May 02 2005
MATHEMATICA
Table[FromDigits[Join[IntegerDigits[NextPrime[10^n, -1]], IntegerDigits[NextPrime[10^(n-1)]]]], {n, 14}] (* James C. McMahon, Jan 22 2024 *)
CROSSREFS
Cf. A104206.
Sequence in context: A178635 A271189 A093272 * A093236 A146500 A271190
KEYWORD
nonn,base
AUTHOR
Parthasarathy Nambi, Apr 30 2005
EXTENSIONS
More terms from James A. Sellers, May 02 2005
Offset corrected by Michel Marcus, Aug 18 2017
a(13)-a(14) from James C. McMahon, Jan 22 2024
STATUS
approved