1875 is the smallest order for which there are 21 groups.
The product of the prime factors of 1875 plus one is a perfect square: 3 x 5 + 1 = 16 = 42.
1875 is a number n such that n - 4, n - 2, n + 2, and n + 4 are prime: 1871, 1873, 1877, and 1879 are all prime.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjV1I6j2VC7OQK6bm9MwqTJdRJSPsZqylzxu9RaiCL-quLsXrnll2WGDIBRZ3275bEoDFrTXNZcbCBKDlkxsarjRx8GT8AOQS1gcxvGh6R8TmvIoSTVntynLHNlN_jEj5rf8YZh3uZ92GM/s200/n1875.jpg)
French mathematician Henri Lebesgue was born June 28, 1875.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjV1I6j2VC7OQK6bm9MwqTJdRJSPsZqylzxu9RaiCL-quLsXrnll2WGDIBRZ3275bEoDFrTXNZcbCBKDlkxsarjRx8GT8AOQS1gcxvGh6R8TmvIoSTVntynLHNlN_jEj5rf8YZh3uZ92GM/s200/n1875.jpg)
French mathematician Henri Lebesgue was born June 28, 1875.