login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A114966 Prime(n) + Semiprime(n) + 3AlmostPrime(n) + 4AlmostPrime(n) + 5AlmostPrime(n). 1
62, 93, 140, 157, 214, 224, 248, 326, 344, 364, 384, 423, 451, 516, 538, 568, 589, 600, 630, 672, 689, 736, 807, 837, 871, 892, 916, 937, 964, 993, 1030, 1052, 1090, 1100, 1164, 1192, 1250, 1294, 1320, 1359, 1373, 1387, 1435, 1454, 1487, 1526, 1547, 1584 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primes in this sequence include a(4) = 157, a(28) = 937, a(41) = 1373, a(45) = 1487, a(49) = 1609.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..3000

FORMULA

a(n) = A000040(n) + A001358(n) + A014612(n) + A014613(n) + A014614(n). a(n) = A114944(n) + A014614(n).

EXAMPLE

a(1) = Prime(1) + Semiprime(1) + 3AlmostPrime(1) +

4AlmostPrime(1) + 5AlmostPrime(1) = 2 + 4 + 8 + 16 + 32 = 62.

a(6) = A114944(6) + A014614(6) = 112 + 112 = 224.

MATHEMATICA

Module[{nn=1000, p1, p2, p3, p4, p5, len}, p1=Prime[Range[nn]]; p2= Select[ Range[ nn], PrimeOmega[ #] ==2&]; p3=Select[ Range[nn], PrimeOmega[ #]==3&]; p4=Select[ Range[ nn], PrimeOmega[#]==4&]; p5=Select[ Range[ nn], PrimeOmega[ #]==5&]; len=Min[Length/@{p1, p2, p3, p4, p5}]; Total/@Thread[ {Take[ p1, len], Take[p2, len], Take[p3, len], Take[p4, len], Take[p5, len]}]] (* Harvey P. Dale, Apr 16 2015 *)

CROSSREFS

Cf. A000040, A001358, A014612, A014613, A014613, A114382, A114944.

Sequence in context: A118156 A214252 A282241 * A104078 A136774 A207145

Adjacent sequences:  A114963 A114964 A114965 * A114967 A114968 A114969

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, Feb 21 2006

EXTENSIONS

Corrected by Harvey P. Dale, Apr 16 2015

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy .

Last modified June 25 20:26 EDT 2017. Contains 288730 sequences.