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%I #17 Jul 10 2021 20:35:00
%S 1,1,2,3,4,5,6,7,9,10,12,13,15,17,18,20,22,24,25,27,29,31,33,35,37,39,
%T 41,43,45,47,49,51,53,56,58,60,62,64,66,69,71,73,76,78,80,82,85,87,89,
%U 92,94,97,99,101,104,106,109,111,113,116,118,121,123,126,128
%N Number of digits of prime(n)# + 1.
%H H. Ibstedt, <a href="https://www.gallup.unm.edu/~smarandache/SN/SIntegerSeq.pdf">A Few Smarandache Integer Sequences</a>, Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, pp. 171-183.
%t prod = 1; Table[prod = prod*Prime[n]; Length[IntegerDigits[prod + 1]], {n, 100}] (* _T. D. Noe_, May 05 2013 *)
%t IntegerLength/@(FoldList[Times,Prime[Range[70]]]+1) (* _Harvey P. Dale_, Nov 17 2020 *)
%Y Essentially the same as A067175.
%Y Cf. A002110.
%K nonn,base,less
%O 1,3
%A Charles T. Le (charlestle(AT)yahoo.com)
%E Corrected and extended by _Arkadiusz Wesolowski_, May 04 2013