login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A138840 Concatenation of initial and final digits of n-th prime. 8

%I #41 Nov 23 2023 19:49:37

%S 22,33,55,77,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,

%T 89,97,11,13,17,19,13,17,11,17,19,19,11,17,13,17,13,19,11,11,13,17,19,

%U 21,23,27,29,23,29,21,21,27,23,29,21,27,21,23,23,37,31,33,37,31,37,37

%N Concatenation of initial and final digits of n-th prime.

%C There are only 38 distinct terms in this sequence, all of them odd with the exception of 22. 55 is the only term divisible by 5. 22 and 55 each appear only once. The other terms, each of which appears multiple times, are the odd two-digit numbers not divisible by 5. - _Harvey P. Dale_, May 15 2012

%C a(n) is the concatenation of A077648(n) and A007652(n), hence all terms of this sequence have two digits in the same way as A073729. - _Omar E. Pol_, Mar 23 2018

%H Harvey P. Dale, <a href="/A138840/b138840.txt">Table of n, a(n) for n = 1..1000</a>

%H Omar E. Pol, <a href="http://www.polprimos.com">Determinacion geometrica de los numeros primos y perfectos</a>.

%p a:= n-> (p-> parse(cat(p[1], p[-1])))(""||(ithprime(n))):

%p seq(a(n), n=1..92); # _Alois P. Heinz_, Nov 23 2023

%t cifd[n_]:=Module[{il=IntegerLength[n],idn=IntegerDigits[n]},Which[ il==1, 10n+n, il==2,n,il>2,FromDigits[Join[{First[idn],Last[idn]}]]]]; cifd/@ Prime[ Range[70]] (* _Harvey P. Dale_, May 15 2012 *)

%o (PARI) a(n) = my(d=digits(prime(n))); fromdigits(concat(d[1], d[#d])); \\ _Michel Marcus_, Mar 23 2018

%Y Cf. A000040, A007652, A073729, A077648, A138841, A138842, A138843, A138844.

%Y Cf. A137589 (same except for first four terms).

%K base,easy,nonn,look

%O 1,1

%A _Omar E. Pol_, Apr 01 2008

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 19 16:52 EDT 2024. Contains 371794 sequences. (Running on oeis4.)