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A206854 Smallest integer m such that m is a product of 2n-1 consecutive primes and a sum of 2n-1 consecutive primes. 0
2, 33263, 2775683761181, 52139749485151463, 31359251876786281892441299570699, 2385018819218440287149 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

n=1: m = 2 (trivial case: product and sum of single prime, 2);

n=2: m = 33263 = product{29, 31, 37} = sum{11083, 11087, 11093};

n=3: m = 2775683761181 = product({293, 307, 311, 313, 317}) = sum({555136752211, 555136752221, 555136752227, 555136752251, 555136752271});

n=4: m = 52139749485151463=product({229, 233, 239, 241, 251, 257, 263})= sum({7448535640735789, 7448535640735843, 7448535640735867, 7448535640735877, 7448535640735991, 7448535640736009, 7448535640736087});

n=5: m = 31359251876786281892441299570699 = product({3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191}) = sum({3484361319642920210271255507593, 3484361319642920210271255507619, 3484361319642920210271255507719, 3484361319642920210271255507767, 3484361319642920210271255507923, 3484361319642920210271255507937, 3484361319642920210271255507941, 3484361319642920210271255508067, 3484361319642920210271255508133});

n=6: m = 2385018819218440287149 = product({67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109}) = sum({216819892656221844131, 216819892656221844133, 216819892656221844139, 216819892656221844169, 216819892656221844307, 216819892656221844331, 216819892656221844347, 216819892656221844373, 216819892656221844397, 216819892656221844401, 216819892656221844421}).

LINKS

Table of n, a(n) for n=1..6.

CROSSREFS

Cf. A203619.

Sequence in context: A030462 A228556 A001377 * A330304 A272166 A291881

Adjacent sequences:  A206851 A206852 A206853 * A206855 A206856 A206857

KEYWORD

nonn

AUTHOR

Zak Seidov, Feb 13 2012

STATUS

approved

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Last modified October 31 11:33 EDT 2020. Contains 338101 sequences. (Running on oeis4.)