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A120384 Isolated primes: geometric mean of distances of a prime to neighboring primes sets record. 0
3, 5, 7, 23, 53, 89, 113, 211, 1259, 1327, 1847, 2179, 2503, 5623, 14107, 19661, 24281, 38501, 58831, 268343, 396833, 1272749, 2198981, 3863107, 4411963, 4958131, 5102953, 7950001, 8917523, 10938023, 12623189, 22440841, 24662467, 32616223 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

A096265 is based on arithmetic mean or total distance to neighbours. But it doesn't say its it is isolated from them or close to one of them.

EXAMPLE

a(4) = 23 because the distance (geometric mean) to its neighbours (19 and 29) equals = sqr(4*6) = 4.8989. No smaller prime is more isolated. The next more isolated prime a(5) is 53.

CROSSREFS

Cf. A096265.

Sequence in context: A057182 A038916 A019363 * A096505 A141802 A029846

Adjacent sequences:  A120381 A120382 A120383 * A120385 A120386 A120387

KEYWORD

nonn

AUTHOR

Alexis Monnerot-Dumaine (alexis.monnerotdumaine(AT)gmail.com), Jun 29 2006

EXTENSIONS

Offset corrected and a(22)-a(34) from Donovan Johnson (donovan.johnson(AT)yahoo.com), May 23 2010

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Last modified February 15 19:15 EST 2012. Contains 205852 sequences.