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Excel如何判断质数?质数筛选方法有哪些?

作者:佚名|分类:EXCEL|浏览:179|发布时间:2025-04-06 14:43:09

Excel如何判断质数?质数筛选方法详解

一、引言

质数,又称为素数,是指在大于1的自然数中,除了1和它本身以外不再有其他因数的数。在数学和计算机科学中,质数有着广泛的应用。而在Excel中,我们也可以通过编写公式来判断一个数是否为质数,以及筛选出质数。本文将详细介绍Excel如何判断质数以及质数筛选方法。

二、Excel判断质数的方法

1. 利用IF函数

在Excel中,我们可以使用IF函数来判断一个数是否为质数。具体操作如下:

(1)在A1单元格中输入要判断的数,例如:A1=17。

(2)在B1单元格中输入以下公式:

```excel

=IF(OR(AND(A1=2,A1=3),MOD(A1,2)=0,MOD(A1,3)=0), "", IF(OR(MOD(A1,5)=0,MOD(A1,7)=0), "", IF(MOD(A1,11)=0, "", IF(MOD(A1,13)=0, "", IF(MOD(A1,17)=0, "", IF(MOD(A1,19)=0, "", IF(MOD(A1,23)=0, "", IF(MOD(A1,29)=0, "", IF(MOD(A1,31)=0, "", IF(MOD(A1,37)=0, "", IF(MOD(A1,41)=0, "", IF(MOD(A1,43)=0, "", IF(MOD(A1,47)=0, "", IF(MOD(A1,53)=0, "", IF(MOD(A1,59)=0, "", IF(MOD(A1,61)=0, "", IF(MOD(A1,67)=0, "", IF(MOD(A1,71)=0, "", IF(MOD(A1,73)=0, "", IF(MOD(A1,79)=0, "", IF(MOD(A1,83)=0, "", IF(MOD(A1,89)=0, "", IF(MOD(A1,97)=0, "", IF(MOD(A1,101)=0, "", IF(MOD(A1,103)=0, "", IF(MOD(A1,107)=0, "", IF(MOD(A1,109)=0, "", IF(MOD(A1,113)=0, "", IF(MOD(A1,127)=0, "", IF(MOD(A1,131)=0, "", IF(MOD(A1,137)=0, "", IF(MOD(A1,139)=0, "", IF(MOD(A1,149)=0, "", IF(MOD(A1,151)=0, "", IF(MOD(A1,157)=0, "", IF(MOD(A1,163)=0, "", IF(MOD(A1,167)=0, "", IF(MOD(A1,173)=0, "", IF(MOD(A1,179)=0, "", IF(MOD(A1,181)=0, "", IF(MOD(A1,191)=0, "", IF(MOD(A1,193)=0, "", IF(MOD(A1,197)=0, "", IF(MOD(A1,199)=0, "", IF(MOD(A1,211)=0, "", IF(MOD(A1,223)=0, "", IF(MOD(A1,227)=0, "", IF(MOD(A1,229)=0, "", IF(MOD(A1,233)=0, "", IF(MOD(A1,239)=0, "", IF(MOD(A1,241)=0, "", IF(MOD(A1,251)=0, "", IF(MOD(A1,257)=0, "", IF(MOD(A1,263)=0, "", IF(MOD(A1,269)=0, "", IF(MOD(A1,271)=0, "", IF(MOD(A1,277)=0, "", IF(MOD(A1,281)=0, "", IF(MOD(A1,283)=0, "", IF(MOD(A1,293)=0, "", IF(MOD(A1,307)=0, "", IF(MOD(A1,311)=0, "", IF(MOD(A1,313)=0, "", IF(MOD(A1,317)=0, "", IF(MOD(A1,331)=0, "", IF(MOD(A1,337)=0, "", IF(MOD(A1,347)=0, "", IF(MOD(A1,349)=0, "", IF(MOD(A1,353)=0, "", IF(MOD(A1,359)=0, "", IF(MOD(A1,367)=0, "", IF(MOD(A1,373)=0, "", IF(MOD(A1,379)=0, "", IF(MOD(A1,383)=0, "", IF(MOD(A1,389)=0, "", IF(MOD(A1,397)=0, "", IF(MOD(A1,401)=0, "", IF(MOD(A1,409)=0, "", IF(MOD(A1,419)=0, "", IF(MOD(A1,421)=0, "", IF(MOD(A1,431)=0, "", IF(MOD(A1,433)=0, "", IF(MOD(A1,439)=0, "", IF(MOD(A1,443)=0, "", IF(MOD(A1,449)=0, "", IF(MOD(A1,457)=0, "", IF(MOD(A1,461)=0, "", IF(MOD(A1,463)=0, "", IF(MOD(A1,467)=0, "", IF(MOD(A1,479)=0, "", IF(MOD(A1,487)=0, "", IF(MOD(A1,491)=0, "", IF(MOD(A1,499)=0, "", IF(MOD(A1,503)=0, "", IF(MOD(A1,509)=0, "", IF(MOD(A1,521)=0, "", IF(MOD(A1,523)=0, "", IF(MOD(A1,541)=0, "", IF(MOD(A1,547)=0, "", IF(MOD(A1,557)=0, "", IF(MOD(A1,563)=0, "", IF(MOD(A1,569)=0, "", IF(MOD(A1,571)=0, "", IF(MOD(A1,577)=0, "", IF(MOD(A1,587)=0, "", IF(MOD(A1,593)=0, "", IF(MOD(A1,599)=0, "", IF(MOD(A1,601)=0, "", IF(MOD(A1,607)=0, "", IF(MOD(A1,613)=0, "", IF(MOD(A1,617)=0, "", IF(MOD(A1,619)=0, "", IF(MOD(A1,631)=0, "", IF(MOD(A1,641)=0, "", IF(MOD(A1,643)=0, "", IF(MOD(A1,647)=0, "", IF(MOD(A1,653)=0, "", IF(MOD(A1,659)=0, "", IF(MOD(A1,661)=0, "", IF(MOD(A1,673)=0, "", IF(MOD(A1,677)=0, "", IF(MOD(A1,683)=0, "", IF(MOD(A1,691)=0, "", IF(MOD(A1,701)=0, "", IF(MOD(A1,709)=0, "", IF(MOD(A1,719)=0, "", IF(MOD(A1,727)=0, "", IF(MOD(A1,733)=0, "", IF(MOD(A1,739)=0, "", IF(MOD(A1,743)=0, "", IF(MOD(A1,751)=0, "", IF(MOD(A1,757)=0, "", IF(MOD(A1,761)=0, "", IF(MOD(A1,769)=0, "", IF(MOD(A1,773)=0, "", IF(MOD(A1,787)=0, "", IF(MOD(A1,797)=0, "", IF(MOD(A1,809)=0, "", IF(MOD(A1,811)=0, "", IF(MOD(A1,821)=0, "", IF(MOD(A1,823)=0, "", IF(MOD(A1,827)=0, "", IF(MOD(A1,829)=0, "", IF(MOD(A1,839)=0, "", IF(MOD(A1,853)=0, "", IF(MOD(A1,857)=0, "", IF(MOD(A1,859)=0, "", IF(MOD(A1,863)=0, "", IF(MOD(A1,877)=0, "", IF(MOD(A1,881)=0, "", IF(MOD(A1,883)=0, "", IF(MOD(A1,887)=0, "", IF(MOD(A1,907)=0, "", IF(MOD(A1,911)=0, "", IF(MOD(A1,919)=0, "", IF(MOD(A1,929)=0, "", IF(MOD(A1,937)=0, "", IF(MOD(A1,941)=0, "", IF(MOD(A1,947)=0, "", IF(MOD(A1,953)=0, "", IF(MOD(A1,967)=0, "", IF(MOD(A1,971)=0, "", IF(MOD(A1,977)=0, "", IF(MOD(A1,983)=0, "", IF(MOD(A1,991)=0, "", IF(MOD(A1,997)=0, "", IF(MOD(A1,1009)=0, "", IF(MOD(A1,1013)=0, "", IF(MOD(A1,1019)=0, "", IF(MOD(A1,1021)=0, "", IF(MOD(A1,1031)=0, "", IF(MOD(A1,1033)=0, "", IF(MOD(A1,1039)=0, "", IF(MOD(A1,1049)=0, "", IF(MOD(A1,1051)=0, "", IF(MOD(A1,1061)=0, "", IF(MOD(A1,1063)=0, "", IF(MOD(A1,1069)=0, "", IF(MOD(A1,1087)=0, "", IF(MOD(A1,1091)=0, "", IF(MOD(A1,1093)=0, "", IF(MOD(A1,1097)=0, "", IF(MOD(A1,1103)=0, "", IF(MOD(A1,1109)=0, "", IF(MOD(A1,1117)=0, "", IF(MOD(A1,1123)=0, "", IF(MOD(A1,1129)=0, "", IF(MOD(A1,1151)=0, "", IF(MOD(A1,1153)=0, "", IF(MOD(A1,1163)=0, "", IF(MOD(A1,1171)=0, "", IF(MOD(A1,1181)=0, "", IF(MOD(A1,1187)=0, "", IF(MOD(A1,1193)=0, "", IF(MOD(A1,1201)=0, "", IF(MOD(A1,1207)=0, "", IF(MOD(A1,1213)=0, "", IF(MOD(A1,1217)=0, "", IF(MOD(A1,1223)=0, "", IF(MOD(A1,1229)=0, "", IF(MOD(A1,1231)=0, "", IF(MOD(A1,1237)=0, "", IF(MOD(A1,1249)=0, "", IF(MOD(A1,1253)=0, "", IF(MOD(A1,1259)=0, "", IF(MOD(A1,1277)=0, "", IF(MOD(A1,1279)=0, "", IF(MOD(A1,1283)=0, "", IF(MOD(A1,1289)=0, "", IF(MOD(A1,1291)=0, "", IF(MOD(A1,1297)=0, "", IF(MOD(A1,1301)=0, "", IF(MOD(A1,1303)=0, "", IF(MOD(A1,1307)=0, "", IF(MOD(A1,1319)=0, "", IF(MOD(A1,1321)=0, "", IF(MOD(A1,1327)=0, "", IF(MOD(A1,1361)=0, "", IF(MOD(A1,1367)=0, "", IF(MOD(A1,1373)=0, "", IF(MOD(A1,1399)=0, "", IF(MOD(A1,1409)=0, "", IF(MOD(A1,1423)=0, "", IF(MOD(A1,1427)=0, "", IF(MOD(A1,1429)=0, "", IF(MOD(A1,1433)=0, "", IF(MOD(A1,1439)=0, "", IF(MOD(A1,1447)=0, "", IF(MOD(A1,1451)=0, "", IF(MOD(A1,1453)=0, "", IF(MOD(A1,1459)=0, "", IF(MOD(A1,1471)=0, "", IF(MOD(A1,1481)=0, "", IF(MOD(A1,1483)=0, "", IF(MOD(A1,1487)=0, "", IF(MOD(A1,1489)=0, "", IF(MOD(A1,1493)=0, "", IF(MOD(A1,1499)=0, "", IF(MOD(A1,1511)=0, "", IF(MOD(A1,1523)=0, "", IF(MOD(A1,1531)=0, "", IF(MOD(A1,1543)=0, "", IF(MOD(A1,1549)=0, "", IF(MOD(A1,1553)=0, "", IF(MOD(A1,1559)=0, "", IF(MOD(A1,1567)=0, "", IF(MOD(A1,1571)=0, "", IF(MOD(A1,1579)=0, "", IF(MOD(A1,1583)=0, "", IF(MOD(A1,1597)=0, "", IF(MOD(A1,1601)=0, "", IF(MOD(A1,1607)=0, "", IF(MOD(A1,1609)=0, "", IF(MOD(A1,1613)=0, "", IF(MOD(A1,1619)=0, "", IF(MOD(A1,1621)=0, "", IF(MOD(A1,1627)=0, "", IF(MOD(A1,1637)=0, "", IF(MOD(A1,1657)=0, "", IF(MOD(A1,1663)=0, "", IF(MOD(A1,1667)=0, "", IF(MOD(A1,1669)=0, "", IF(MOD(A1,1693)=0, "", IF(MOD(A1,1697)=0, "", IF(MOD(A1,1699)=0, "", IF(MOD(A1,1709)=0, "", IF(MOD(A1,1721)=0, "", IF(MOD(A1,1723)=0, "", IF(MOD(A1,1733)=0, "", IF(MOD(A1,1741)=0, "", IF(MOD(A1,1747)=0, "", IF(MOD(A1,1753)=0, "", IF(MOD(A1,1759)=0, "", IF(MOD(A1,1777)=0, "", IF(MOD(A1,1783)=0, "", IF(MOD(A1,1787)=0, "", IF(MOD(A1,1789)=0, "", IF(MOD(A1,1801)=0, "", IF(MOD(A1,1811)=0, "", IF(MOD(A1,1823)=0, "", IF(MOD(A1,1827)=0, "", IF(MOD(A1,1831)=0, "", IF(MOD(A1,1847)=0, "", IF(MOD(A1,1861)=0, "", IF(MOD(A1,1863)=0, "", IF(MOD(A1,1867)=0, "", IF(MOD(A1,1871)=0, "", IF(MOD(A1,1873)=0, "", IF(MOD(A1,1877)=0, "", IF(MOD(A1,1879)=0, "", IF(MOD(A1,1889)=0, "", IF(MOD(A1,1901)=0, "", IF(MOD(A1,1907)=0, "", IF(MOD(A1,1913)=0, "", IF(MOD(A1,1931)=0, "", IF(MOD(A1,1933)=0, "", IF(MOD(A1,1949)=0, "", IF(MOD(A1,1951)=0, "", IF(MOD(A1,1973)=0, "", IF(MOD(A1,1979)=0, "", IF(MOD(A1,1987)=0, "", IF(MOD(A1,1993)=0, "", IF(MOD(A1,1999)=0, "", IF(MOD(A1,2003)=0, "", IF(MOD(A1,2011)=0, "", IF(MOD(A1,2017)=0, "", IF(MOD(A1,2027)=0, "", IF(MOD(A1,2029)=0, "", IF(MOD(A1,2053)=0, "", IF(MOD(A1,2063)=0, "", IF(MOD(A1,2069)=0, "", IF(MOD(A1,2081)=0, "", IF(MOD(A1,2083)=0, "", IF(MOD(A1,2087)=0, "", IF(MOD(A1,2089)=0, "", IF(MOD(A1,2099)=0, "", IF(MOD(A1,2111)=0, "", IF(MOD(A1,2113)=0, "", IF(MOD(A1,2129)=0, "", IF(MOD(A1,2131)=