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A104645 Difference between the previous and the next primes to x, where x is the number obtained from concatenation of the first n primes (A019518). 0
10, 6, 20, 24, 24, 60, 18, 48, 100, 48, 156, 74, 88, 68, 42, 126, 366, 106, 186, 136, 228, 104, 30, 246, 52, 218, 814, 58, 536, 174, 90, 924, 180, 298, 120, 330, 96, 508, 504, 60, 762, 588, 330, 138, 552, 726, 452, 634, 660, 354, 534, 1770, 52, 262, 834, 790, 250, 624 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,1
LINKS
FORMULA
a(n) = A151800(A019518(n)) - A151799(A019518(n)).
EXAMPLE
For n=4, concatenate(2,3,5,7) gives 2357. The closest other primes are 2371 and 2351 and their difference is a(4)=20.
MATHEMATICA
<<NumberTheory`NumberTheoryFunctions` sz[x_] :=FromDigits[Flatten[Table[IntegerDigits[Prime[j]], {j, 1, x}], 1]] Table[NextPrime[sz[w]]-PreviousPrime[sz[w]], {w, 1, 100}]
PROG
(PARI) A019518(n)=my(k=""); forprime(p=2, prime(n), k=Str(k, p)); eval(k)
a(n)=my(k=A019518(n)); nextprime(k+1)-precprime(k-1) \\ Charles R Greathouse IV, Apr 28 2010
CROSSREFS
Sequence in context: A369702 A033986 A049004 * A344103 A181107 A234974
KEYWORD
nonn,base
AUTHOR
Labos Elemer, Mar 18 2005
EXTENSIONS
Corrected, extended, and edited by Charles R Greathouse IV, Apr 28 2010
STATUS
approved

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Last modified July 20 06:10 EDT 2024. Contains 374441 sequences. (Running on oeis4.)