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A292427
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Least number k > primorial(n) such that omega(k) = n-1.
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0
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7, 33, 220, 2340, 30090, 511290, 9708270, 223136760, 6470164470, 200575098570, 7420875422730, 304251077160030, 13082794956764610, 614890302617971380, 32589185235841244010, 1922761748060828845170, 117288389032450202376810, 7858321607905303633368270
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OFFSET
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2,1
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LINKS
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PROG
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(PARI) a(n) = b=prod(i=1, n, prime(i)); k={my(k=1); while(omega(b+k)<(n-1), k++); k; }; b+k
(PARI) a(n) = my(A=vecprod(primes(n)), B=2*A); (f(m, p, j) = my(r=oo); forprime(q=p, sqrtnint(B\m, j), my(v=m*q); while(v <= B, if(j==1, if(v>=A && v < r, r = v; B = v-1), if(v*(q+1) <= B, r = min(r, f(v, q+1, j-1)))); v *= q)); r); f(1, 2, n-1); \\ Daniel Suteu, Sep 22 2023
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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