What is the 3722nd prime number?
The 3722nd prime number is 34871. The next prime is 34877 (a gap of 6) and the one before is 34849.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 3722nd one is 34871.
- 2
34871 is prime because no prime up to ā34871 ā 186.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3722nd prime is close to 3722 Ć ln(3722) ā 30602, and here it is 34871.
- 4
34871 has no twin: neither 34869 nor 34873 is prime.
Primes around the 3722nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3719 | 34843 | 2 |
| 3720 | 34847 | 4 |
| 3721 | 34849 | 2 |
| 3722 | 34871 | 22 |
| 3723 | 34877 | 6 |
| 3724 | 34883 | 6 |
| 3725 | 34897 | 14 |
Questions
What is the 3722nd prime number?
34871.
Which prime number is 34871?
34871 is the 3722nd prime number.
What is the sum of the first 3722 primes?
61,155,831.