A154522 Numbers n such that number of occurrences of the smallest digit in prime(n) is 2.
5, 30, 32, 36, 42, 43, 47, 48, 49, 50, 64, 68, 71, 74, 76, 84, 87, 102, 130, 138, 139, 141, 151, 156, 165, 169, 188, 189, 191, 192, 195, 196, 198, 199, 202, 210, 215, 216, 218, 221, 230, 233, 234, 242, 248, 255, 256, 257, 268, 271, 282, 284, 286, 293, 294, 297
Offset: 1
Examples
If 191=prime(n=43), 1=1 and 1<9, the 43=a(6); If 199=prime(n=45), then 9=9 and 9>1; If 211=prime(n=47), 1=1 and 1<2, then 47=a(7); If 223=prime(n=48), 2=2 and 2<3, then 48=a(48), etc.
Links
- Robert Israel, Table of n, a(n) for n = 1..10000
Crossrefs
Cf. A000040.
Programs
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Maple
A060420 := proc(n) convert(ithprime(n),base,10) ; min(op(%)) ; end: dcount := proc(di,n) local a,d; a := 0 ; convert(n,base,10) ; for d in % do if d = di then a := a+1 ; fi; od; a ; end: isA154522 := proc(n) local d,c ; d := A060420(n) ; c := dcount(d,ithprime(n)) ; RETURN( c = 2 ) ; end: for n from 1 to 800 do if isA154522(n) then printf("%d,",n) ; fi; od: # R. J. Mathar, Jan 12 2009
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Mathematica
Select[Range[300],Length[Split[Sort[IntegerDigits[Prime[#]]]][[1]]] == 2&] (* Harvey P. Dale, Aug 16 2011 *)
Extensions
Removed 205, 206, 208. Added 210. R. J. Mathar, Jan 12 2009
Comments