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 A054342 First occurrence of distances of equidistant lonely primes. Each equidistant prime is at the same distance (or has the same gap) from the preceding prime and the next prime. 8
 5, 53, 211, 20201, 16787, 69623, 255803, 247141, 3565979, 6314447, 4911311, 12012743, 23346809, 43607429, 34346287, 36598607, 51042053, 460475569, 652576429, 742585297, 530324449, 807620777, 2988119339, 12447231899, 383204683, 4470608101, 5007182863, 71015248091, 5558570491, 88526967847, 65997364621, 48287689717, 57484162331, 50284155289, 178796541817, 264860525507, 978720895253, 472446412421, 374787490919 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Or, least balanced primes: starting with 2nd term, 53, the smallest prime such that the distances to the next smallest and next largest primes are both equal to 6n. The distances corresponding to the above terms are 2,6,12,18,24...192,198,204,210,218,224. LINKS EXAMPLE 211 is an equidistant lonely prime with distance 12. This is the first occurrence of the distance 12, thus 211 is in the sequence. 20201 is a least balanced prime because it is the third term in the sequence and is separated from both the next lower and next higher primes by 3 x 6 = 18. Here is the beginning of the table of equidistant lonely primes. Equivalent to 3 consecutive primes in arithmetic progression. * indicates a maximal gap. This table gives rise to A058867, A058868 and the present sequence. Gap First occurrence --- ---------------- 2* 5 6* 53 12* 211 18 20201 24* 16787 30* 69623 36 255803 42* 247141 48* 3565979 54 6314447 60* 4911311 66* 12012743 72* 23346809 78 43607429 84* 34346287 90* 36598607 96* 51042053 102 460475569 108 652576429 CROSSREFS Cf. A058867, A058868, A006562, A103709. Sequence in context: A267543 A058867 A058869 * A216533 A152473 A242906 Adjacent sequences:  A054339 A054340 A054341 * A054343 A054344 A054345 KEYWORD nonn AUTHOR Harvey P. Dale, May 06 2000 EXTENSIONS More terms from Jud McCranie, Jun 13 2000 Further terms from Harvey Dubner (harvey(AT)dubner.com), Sep 11 2004 Entry revised by N. J. A. Sloane, Jul 23 2006 4 further terms from Walter Neumann (neumann(AT)math.columbia.edu), Aug 14 2006 STATUS approved

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Last modified October 21 11:34 EDT 2019. Contains 328296 sequences. (Running on oeis4.)