What is the 6050th prime number?
The 6050th prime number is 59887. The next prime is 59921 (a gap of 34) and the one before is 59879.
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 6050th one is 59887.
- 2
59887 is prime because no prime up to ā59887 ā 244.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6050th prime is close to 6050 Ć ln(6050) ā 52682, and here it is 59887.
- 4
59887 has no twin: neither 59885 nor 59889 is prime.
Primes around the 6050th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6047 | 59833 | 24 |
| 6048 | 59863 | 30 |
| 6049 | 59879 | 16 |
| 6050 | 59887 | 8 |
| 6051 | 59921 | 34 |
| 6052 | 59929 | 8 |
| 6053 | 59951 | 22 |
Questions
What is the 6050th prime number?
59887.
Which prime number is 59887?
59887 is the 6050th prime number.
What is the sum of the first 6050 primes?
171,429,029.