What is the 6051st prime number?
The 6051st prime number is 59921. The next prime is 59929 (a gap of 8) and the one before is 59887.
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 6051st one is 59921.
- 2
59921 is prime because no prime up to ā59921 ā 244.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6051st prime is close to 6051 Ć ln(6051) ā 52692, and here it is 59921.
- 4
59921 has no twin: neither 59919 nor 59923 is prime.
Primes around the 6051st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6048 | 59863 | 30 |
| 6049 | 59879 | 16 |
| 6050 | 59887 | 8 |
| 6051 | 59921 | 34 |
| 6052 | 59929 | 8 |
| 6053 | 59951 | 22 |
| 6054 | 59957 | 6 |
Questions
What is the 6051st prime number?
59921.
Which prime number is 59921?
59921 is the 6051st prime number.
What is the sum of the first 6051 primes?
171,488,950.