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A357176
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a(n) is the least prime that is the n-th elementary symmetric function of the first k primes for some k.
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1
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2, 31, 2101534937, 2927, 40361, 39075401846390482295581, 226026998201956974105518542793548663, 617651235401, 4325269278391458399931853204730438563, 12894795842691356733422939, 745410787149030809096434692201049325037186561467959704761393689387
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OFFSET
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1,1
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COMMENTS
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a(n) is the first prime p such that (-1)^n*p is in the n-th column of A238146.
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LINKS
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EXAMPLE
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a(4) = 2927 = 2*3*5*7 + 2*3*5*11 + 2*3*7*11 + 2*5*7*11 + 3*5*7*11 is the 4th symmetric function of the first 5 primes (2,3,5,7,11) and is prime.
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MAPLE
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N:= 20: V:= Vector(N):
S:= Vector(N): p:= 2: S[1]:= 2: V[1]:= 2: count:= 1:
while count < N do
p:= nextprime(p);
for k from N to 2 by -1 do
S[k]:= S[k] + p*S[k-1];
if V[k] = 0 and isprime(S[k]) then V[k]:= S[k]; count:= count+1; fi;
od;
S[1]:= S[1]+p;
od:
convert(V, list);
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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