Emirp Calculator

Input a prime number to determine if its reversed digits form another prime, or specify a range to generate all emirp numbers within that range.

Emirp Check or Generate

What Is an Emirp?

An emirp is a prime number that remains prime when its decimal digits are reversed. For example, 17 is a prime number. When its digits are reversed, it becomes 71, which is also a prime. Therefore, 17 is an emirp.

How to Check If a Number Is an Emirp

  1. Check If the Number Is a Prime: A number is considered prime if it is greater than 1 and divisible only by 1 and itself.
  2. Reverse the Digits: Reverse the order of the number's digits to create a new number.
  3. Check If the Reversed Number Is Prime: Verify if the reversed number is greater than 1 and divisible only by 1 and itself. If the reversed number is also prime, the original number is an emirp.

Examples

Example 1: Is 59 an Emirp?

Solution:

59 is a prime number.

Reversing its digits gives 95.

95 is not a prime number.

Result: 59 is not an emirp.

Example 2: Is 137 an Emirp?

Solution:

137 is a prime number.

Reversing its digits gives 731.

731 is not a prime number.

Result: 137 is not an emirp.

Example 3: Is 1021 an Emirp?

Solution:

1021 is a prime number.

Reversing its digits gives 1201.

1201 is also a prime number.

Result: 1021 is an emirp.

First 100 Emirps

  • 13
  • 17
  • 31
  • 37
  • 71
  • 73
  • 79
  • 97
  • 107
  • 113
  • 149
  • 157
  • 167
  • 179
  • 199
  • 311
  • 337
  • 347
  • 359
  • 389
  • 701
  • 709
  • 733
  • 739
  • 743
  • 751
  • 761
  • 769
  • 907
  • 937
  • 941
  • 953
  • 967
  • 971
  • 983
  • 991
  • 1009
  • 1021
  • 1031
  • 1033
  • 1061
  • 1069
  • 1091
  • 1097
  • 1103
  • 1109
  • 1151
  • 1153
  • 1181
  • 1193
  • 1201
  • 1213
  • 1217
  • 1223
  • 1229
  • 1231
  • 1237
  • 1249
  • 1259
  • 1279
  • 1283
  • 1301
  • 1321
  • 1381
  • 1399
  • 1409
  • 1429
  • 1439
  • 1453
  • 1471
  • 1487
  • 1499
  • 1511
  • 1523
  • 1559
  • 1583
  • 1597
  • 1601
  • 1619
  • 1657
  • 1669
  • 1723
  • 1733
  • 1741
  • 1753
  • 1789
  • 1811
  • 1831
  • 1847
  • 1867
  • 1879
  • 1901
  • 1913
  • 1933
  • 1949
  • 1979
  • 3011
  • 3019
  • 3023
  • 3049