148_(number)

148 (number)

148 (number)

Natural number


148 (one hundred [and] forty-eight) is the natural number following 147 and before 149.

Quick Facts ← 147 148 149 →, Cardinal ...

In mathematics

148 is the second number to be both a heptagonal number and a centered heptagonal number (the first is 1).[1] It is the twelfth member of the Mian–Chowla sequence, the lexicographically smallest sequence of distinct positive integers with distinct pairwise sums.[2]

There are 148 perfect graphs with six vertices,[3] and 148 ways of partitioning four people into subsets, ordering the subsets, and selecting a leader for each subset.[4]

In other fields

In the Book of Nehemiah 7:44 there are 148 singers, sons of Asaph, at the census of men of Israel upon return from exile. This differs from Ezra 2:41, where the number is given as 128.[5]

Dunbar's number is a theoretical cognitive limit to the number of people with whom one can maintain stable interpersonal relationships. Dunbar predicted a "mean group size" of 148,[6] but this is commonly rounded to 150.

See also


References

  1. Sloane, N. J. A. (ed.). "Sequence A128919 (Numbers simultaneously heptagonal and centered heptagonal)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. Klein, Ralph Walter (January 1969). "Old Readings in 1 Esdras: The List of Returnees From Babylon (Ezra 2 // Nehemiah 7)". Harvard Theological Review. 62 (1): 99–107. doi:10.1017/s0017816000027644. S2CID 163153675.
  3. Dunbar, R. I. M. (1997). "Groups, Gossip, and the Evolution of Language". In Schmitt, Alain; Atzwanger, Klaus; Grammer, Karl; Schäfer, Katrin (eds.). New Aspects of Human Ethology. Kluwer Academic Publishers. pp. 77–89. doi:10.1007/978-0-585-34289-4_5. ISBN 978-0-306-45695-4.

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