login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A210629 Each entry is the first of four consecutive primes with equal digital sum. 6
1442173, 2288509, 2660183, 2805773, 3830891, 4137473, 4951073, 5216137, 5517173, 5521819, 5521891, 5914591, 6474119, 6518173, 7118519, 7570273, 8508473, 8584273, 8689573, 8912591, 9383053, 9958519, 10116373, 10204391, 11418193, 11878873, 11890873, 12948773, 13738163, 13873073, 14377157, 14436391, 14677573, 14732191 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

The differences between each of the 4-consecutive primes are multiples of 18. - Harvey P. Dale, Jul 22 2016

LINKS

Table of n, a(n) for n=1..34.

EXAMPLE

2288509 is in the sequence because 2288509, 2288527, 2288563, and 2288581 are consecutive primes and the sum of the digits of each = 34

MATHEMATICA

Transpose[Select[Partition[Prime[Range[1000000]], 4, 1], Total[ IntegerDigits[#[[1]]]]==Total[IntegerDigits[#[[2]]]] == Total[ IntegerDigits[#[[3]]]]==Total[IntegerDigits[#[[4]]]]&]][[1]]

Transpose[Select[Partition[Prime[Range[10^6]], 4, 1], Differences[ Total/@ (IntegerDigits/@#)]=={0, 0, 0}&]][[1]] (* Harvey P. Dale, Jul 22 2016 *)

CROSSREFS

Cf. A066540, A209663, A209396.

Sequence in context: A234657 A015361 A259306 * A156621 A108841 A124490

Adjacent sequences:  A210626 A210627 A210628 * A210630 A210631 A210632

KEYWORD

nonn,base

AUTHOR

Harvey P. Dale, Mar 25 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 17 23:26 EST 2019. Contains 329242 sequences. (Running on oeis4.)