The set of numbers generated by excluding the sums of two or more consecutive earlier members is called the prime numbers of measurement, or
sometimes the segmented numbers. The first few terms are 1, 2, 4, 5, 8, 10, 14, 15,
16, 21, ... (OEIS A002048). Excluding two *and*
three terms gives the sequence 1, 2, 4, 5, 8, 10, 12, 14, 15, 16, 19, 20, 21, ...
(OEIS A005242).

# Prime Number of Measurement

## See also

Sum-Free Set## Explore with Wolfram|Alpha

## References

Guy, R. K. "MacMahon's Prime Numbers of Measurement." §E30 in*Unsolved Problems in Number Theory, 2nd ed.*New York: Springer-Verlag, pp. 230-231, 1994.Sloane, N. J. A. Sequences A002048/M0972 and A005242/M0971 in "The On-Line Encyclopedia of Integer Sequences."

## Referenced on Wolfram|Alpha

Prime Number of Measurement## Cite this as:

Weisstein, Eric W. "Prime Number of Measurement."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/PrimeNumberofMeasurement.html