OFFSET
1,1
COMMENTS
A187073 contains numbers n = q_1*q_2*q_3*... *q_k with k distinct prime factors q subject to the condition that the arithmetic average (q_1+q_2+...+q_k)/k is some prime p.
REFERENCES
Carlos Sánchez y Rita Roldán, Goldbach: Una Conjetura Indómita, Nivola, 2009, p. 105
LINKS
Antonio Roldán, Numeros y hoja de calculo: primos por tadas partes
Antonio Roldán, Numeros y hoja de calculo: números Arolmar
Rafael Parra Machío, Números Arolmar (PDF)
EXAMPLE
195 and 231 are representatives of the prime average p=7 with k=3 primes in A187073. The smaller 195 is, but the larger 231 is not in this sequence here.
57 and 85 are representatives of p=11 with k=2 primes in A187073. Only the smaller 57 is in here.
93, 145 and 253 are representatives of p=17 with k=2 primes in A187073. Only the smallest representative 93 is in this sequence here.
CROSSREFS
KEYWORD
nonn
AUTHOR
Rafael Parra Machio, Jun 11 2011
STATUS
approved