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A076150 Start of 10 consecutive composite numbers. 3
114, 115, 116, 117, 200, 201, 212, 213, 294, 295, 296, 297, 318, 319, 320, 321, 468, 469, 510, 511, 524, 525, 526, 527, 528, 529, 530, 531, 620, 621, 662, 663, 774, 775, 776, 777, 798, 799, 840, 841, 842, 843, 864, 865, 866, 867, 888, 889, 890, 891, 892 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Also, the numbers which do not appear in sequence A267299 starting with 1 and such that a(n+1) is the least positive integer not occurring earlier which yields a prime when added to the last digit of a(n), cf. link to SeqFan post. - M. F. Hasler, Jan 20 2016

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..20000

E. Angelini, J. Mason and M. F. Hasler, A light variation, SeqFan list, Jan. 20, 2016

EXAMPLE

531 is in the sequence because it is the first term of the ten consecutive composites: 531=3^2*59; 532=2^2*7*19; 533=13*41; 534=2*3*89; 535=5*107; 536=2^3*67; 537=3*179; 538=2*269; 539=7^2*11; 540=2^2*3^3*5.

MATHEMATICA

Select[ Range[900], Union[ Table[ PrimeQ[i], {i, #, # + 9}]] == {False} &]

nn=1000; Transpose[Select[Partition[Complement[Range[nn], Prime[Range[ PrimePi[ nn]]]], 10, 1], Last[#]-First[#]==9&]][[1]] (* Harvey P. Dale, Jun 15 2011 *)

PROG

(PARI) is_A076150(n)=nextprime(n)>n+9 \\ M. F. Hasler, Jan 20 2016

CROSSREFS

Cf. A007530, A076192.

Sequence in context: A106748 A220983 A122503 * A294309 A138693 A272303

Adjacent sequences:  A076147 A076148 A076149 * A076151 A076152 A076153

KEYWORD

nonn

AUTHOR

Lekraj Beedassy, Oct 31 2002

EXTENSIONS

Corrected and extended by Ralf Stephan and others, Nov 01 2002

STATUS

approved

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Last modified June 25 01:53 EDT 2021. Contains 345445 sequences. (Running on oeis4.)