prime numbern.

Brit.

/ˌprʌɪm ˈnʌmbə/, U.S.

/ˌpraɪm ˈnəmbər/

Origin: Formed within English, by compounding; partly modelled on a Latin lexical item. Etymons: prime adj., number n.

Etymology: < prime adj. + number n., in sense 1 after post-classical Latin primus numerus (5th cent.), itself after Hellenistic Greek πρῶτος ἀριθμός (Euclid). Compare Middle French, French nombre premier (1390). Compare prime n.² 1a.Sense 2 is apparently not paralleled in Latin or the Romance languages.

1. A number that cannot be divided by any whole number (without a remainder) other than itself and one. Cf. prime adj. 5.By convention, the number one is usually considered not to be a prime number.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > [noun] > particular qualities > prime

prime number1570

prime1597

incomposite number1706

irrational1871

primality1908

1570 H. Billingsley in tr. Euclid Elements Geom. vii. f. 185^v All prime numbers, which also are called first numbers, and numbers vncomposed, haue no part to measure them, but only unitie.

1647 J. Greaves Disc. Romane Foot 81 Surely this of eight being a compound number, as Arithmeticians use to speak, was much fitter then seven, used by the Romanes, which being a prime number, is therefore incapable of any other division.

a1690 S. Jeake Compl. Body Arithm. (1701) iv. 543 For the Uncompound or Prime Numbers, 2 . 3 . 5 . 7 . 11, multiplied together, make 2310.

1798 C. Buchanan Writing-master & Accountant's Assistant 31/1 A pure circulate is produced from all prime numbers (except 2, 3 and 5) from 9 multiplied into 3 or any of it's powers.

1858 W. Whewell Hist. Sci. Ideas I. iv. iii. 217 Seven is what is called by arithmeticians a prime number, that is, it cannot be produced by the multiplication of other numbers.

1900 Reno (Nevada) Evening Gaz. 28 June In arithmetic they must be able..to explain the nature of prime numbers and factors of a number.

1951 F. Whiteley Gear Manuf.: Bk. 2 16 For change wheels having a prime number of teeth it is sometimes found necessary, however, to revert to the original method of form milling the teeth.

1998 P. O'Brian Hundred Days (1999) v. 131 I fear that I am excluded not only from the joy of prime numbers and surds but from the mathematics as a whole.

†2. = golden number n. at golden adj. and n. Compounds 2a. Obsolete.

ΘΚΠ

the world > time > period > cycle of time > [noun] > lunar cycle of nineteen years > number of any year in

primea1387

golden number?1430

prime number1667

1667 Philos. Trans. (Royal Soc.) 2 572 It is necessary to be furnished with the sun's cycle, the prime number, and the number of the Roman Indiction.

1669 S. Sturmy Mariners Mag. i. ii. 9 In what year you would know what is the Prime Number, add 1 to the date thereof, and then divide it by 19, and that which remaineth upon the Division..is the Number required.

1710 W. Pickering Marrow of Math. ii. iii. 416 The Product is the Prime Number for all that year, beginning the 1st January.

This entry has been updated (OED Third Edition, June 2007; most recently modified version published online March 2022).

单词	prime number
释义	prime numbern. Brit. /ˌprʌɪm ˈnʌmbə/, U.S. /ˌpraɪm ˈnəmbər/ Origin: Formed within English, by compounding; partly modelled on a Latin lexical item. Etymons: prime adj., number n. Etymology: < prime adj. + number n., in sense 1 after post-classical Latin primus numerus (5th cent.), itself after Hellenistic Greek πρῶτος ἀριθμός (Euclid). Compare Middle French, French nombre premier (1390). Compare prime n.² 1a.Sense 2 is apparently not paralleled in Latin or the Romance languages. 1. A number that cannot be divided by any whole number (without a remainder) other than itself and one. Cf. prime adj. 5.By convention, the number one is usually considered not to be a prime number. ΘΚΠ the world > relative properties > number > mathematical number or quantity > [noun] > particular qualities > prime prime number1570 prime1597 incomposite number1706 irrational1871 primality1908 1570 H. Billingsley in tr. Euclid Elements Geom. vii. f. 185^v All prime numbers, which also are called first numbers, and numbers vncomposed, haue no part to measure them, but only unitie. 1647 J. Greaves Disc. Romane Foot 81 Surely this of eight being a compound number, as Arithmeticians use to speak, was much fitter then seven, used by the Romanes, which being a prime number, is therefore incapable of any other division. a1690 S. Jeake Compl. Body Arithm. (1701) iv. 543 For the Uncompound or Prime Numbers, 2 . 3 . 5 . 7 . 11, multiplied together, make 2310. 1798 C. Buchanan Writing-master & Accountant's Assistant 31/1 A pure circulate is produced from all prime numbers (except 2, 3 and 5) from 9 multiplied into 3 or any of it's powers. 1858 W. Whewell Hist. Sci. Ideas I. iv. iii. 217 Seven is what is called by arithmeticians a prime number, that is, it cannot be produced by the multiplication of other numbers. 1900 Reno (Nevada) Evening Gaz. 28 June In arithmetic they must be able..to explain the nature of prime numbers and factors of a number. 1951 F. Whiteley Gear Manuf.: Bk. 2 16 For change wheels having a prime number of teeth it is sometimes found necessary, however, to revert to the original method of form milling the teeth. 1998 P. O'Brian Hundred Days (1999) v. 131 I fear that I am excluded not only from the joy of prime numbers and surds but from the mathematics as a whole. †2. = golden number n. at golden adj. and n. Compounds 2a. Obsolete. ΘΚΠ the world > time > period > cycle of time > [noun] > lunar cycle of nineteen years > number of any year in primea1387 golden number?1430 prime number1667 1667 Philos. Trans. (Royal Soc.) 2 572 It is necessary to be furnished with the sun's cycle, the prime number, and the number of the Roman Indiction. 1669 S. Sturmy Mariners Mag. i. ii. 9 In what year you would know what is the Prime Number, add 1 to the date thereof, and then divide it by 19, and that which remaineth upon the Division..is the Number required. 1710 W. Pickering Marrow of Math. ii. iii. 416 The Product is the Prime Number for all that year, beginning the 1st January. This entry has been updated (OED Third Edition, June 2007; most recently modified version published online March 2022). < n.1570
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