What is the 651st prime number?
The 651st prime number is 4861. The next prime is 4871 (a gap of 10) and the one before is 4831.
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 651st one is 4861.
- 2
4861 is prime because no prime up to ā4861 ā 69.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 651st prime is close to 651 Ć ln(651) ā 4218, and here it is 4861.
- 4
4861 has no twin: neither 4859 nor 4863 is prime.
Primes around the 651st
| Position | Prime | Gap from the previous |
|---|---|---|
| 648 | 4813 | 12 |
| 649 | 4817 | 4 |
| 650 | 4831 | 14 |
| 651 | 4861 | 30 |
| 652 | 4871 | 10 |
| 653 | 4877 | 6 |
| 654 | 4889 | 12 |
Questions
What is the 651st prime number?
4861.
Which prime number is 4861?
4861 is the 651st prime number.
What is the sum of the first 651 primes?
1,459,228.