77 (number)

← 76 77 78 →
Cardinalseventy-seven
Ordinal77th
(seventy-seventh)
Factorization7 × 11
Divisors1, 7, 11, 77
Greek numeralΟΖ´
Roman numeralLXXVII
Binary10011012
Ternary22123
Senary2056
Octal1158
Duodecimal6512
Hexadecimal4D16

77 (seventy-seven) is the natural number following 76 and preceding 78. Seventy-seven is the smallest positive integer requiring five syllables in English.

In mathematics

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77 is:

It is possible for a sudoku puzzle to have as many as 77 givens, yet lack a unique solution.[6]

It and 49 are the only 2-digit numbers whose home primes (in base 10) have not been calculated.

In science

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In history

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During World War II in Sweden at the border with Norway, "77" was used as a shibboleth (password), because the tricky pronunciation in Swedish made it easy to instantly discern whether the speaker was native Swedish, Norwegian, or German.[7]

In religion

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In the Islamic tradition, "77" figures prominently. Muhammad is reported to have explained, "Faith has sixty-odd, or seventy-odd branches, the highest and best of which is to declare and believe that there is no god but Allah without any equals or highers and anyone worthy of worship, and the lowest of which is to remove something harmful from a road. Shyness, too, is a branch of faith." While some scholars refrain from clarifying "sixty-odd or seventy-odd", various numbers have been suggested, 77 being the most common.[8] Some have gone so far as to delineate these branches.[9]

The Gospel of Luke lists 77 generations from Adam to Jesus.[10] In the Gospel of Matthew Peter asks, "How many times shall I forgive my brother?". Jesus replies, "Seventy-seven times." However this was not intended as literal quantitative instruction. Additionally, depending on the manuscript used for a given New Testament eclectic[11][circular reference] translation, the result is 77 or 490 (70*7) as it is seen in the King James Version.

In the Book of Genesis, Chapter 4, Lamech says to his wives, "hear my voice ... hearken unto my speech; for I have slain a man for wounding me, and a young man for bruising me; If Cain shall be avenged sevenfold, truly Lamech seventy and sevenfold."[12]

In religious numerology

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In certain numerological systems based on the English alphabet, the number 77 is associated with Jesus Christ. CHRIST is C = 3, H = 8, R = 18, I = 9, S = 19, T = 20, which added together equal 77.

'Liber 77' is the gematrian name for Liber OZ- a brief but popular publication by Aleister Crowley. The word 'oz', which means 'strength', is composed of two Hebrew letters- ayin and zayin, which have gematrian values of 70 and 7 respectively, thus adding up to 77.

In other fields

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Seventy-seven is also:

References

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  1. ^ Sloane, N. J. A. (ed.). "Sequence A001358". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A016105 (Blum integers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A000041". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A051882 (numbers that are not strict-sense Egyptian)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-08-29.
  5. ^ Caldwell, Chris K. "Mersenne Primes: History, Theorems and Lists".
  6. ^ "The Science behind Sudoku, J.P. Delahaye" (PDF). Archived from the original (PDF) on 2016-03-04. Retrieved 2008-10-07.
  7. ^ Buchan, Jamie (2010), Easy as Pi: The Countless Ways We Use Numbers Every Day, Penguin, ISBN 9781606522783.
  8. ^ "A Verdict of Mufti Muhammad Hassan". Archived from the original on 2008-12-04. Retrieved 2008-05-29.
  9. ^ "Imam al-Tahanawi on the Seventy-Seven Branches". Archived from the original on 2009-06-20. Retrieved 2008-05-29.
  10. ^ "The genealogy of Jesus".
  11. ^ "Textual Criticism of the New Testament".
  12. ^ Genesis 4:23
  13. ^ "10 Codes".
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