

A090927


Smallest prime beginning with prime(n) and having as many digits.


2



23, 307, 50021, 7000003, 11000000021, 1300000000021, 17000000000000009, 1900000000000000009, 23000000000000000000003, 29000000000000000000000000023, 3100000000000000000000000000291
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OFFSET

1,1


LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..168


FORMULA

Let p(n)=prime(n). If f:R>R is a continuous, everywhereincreasing function, such that f(x)=p(x) for every natural x and F = f^(1) and if a(n) exists, then a(n) = p(ceiling(F(p(n)*(10^(p(n)floor(log_10 p(n))1))))).  Sam Alexander, Dec 31 2003


MATHEMATICA

sp[n_]:=Module[{p = Prime[n]}, NextPrime[p*10^(p  IntegerLength[p])]]; Array[ sp, 20] (* Harvey P. Dale, May 07 2017 *)


CROSSREFS

Sequence in context: A267266 A077504 A086558 * A045530 A080188 A142433
Adjacent sequences: A090924 A090925 A090926 * A090928 A090929 A090930


KEYWORD

base,easy,nonn


AUTHOR

Amarnath Murthy, Dec 28 2003


EXTENSIONS

More terms from Ray Chandler, Dec 29 2003


STATUS

approved



