What is the 6054th prime number?
The 6054th prime number is 59957. The next prime is 59971 (a gap of 14) and the one before is 59951.
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 6054th one is 59957.
- 2
59957 is prime because no prime up to ā59957 ā 244.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6054th prime is close to 6054 Ć ln(6054) ā 52721, and here it is 59957.
- 4
59957 has no twin: neither 59955 nor 59959 is prime.
Primes around the 6054th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6051 | 59921 | 34 |
| 6052 | 59929 | 8 |
| 6053 | 59951 | 22 |
| 6054 | 59957 | 6 |
| 6055 | 59971 | 14 |
| 6056 | 59981 | 10 |
| 6057 | 59999 | 18 |
Questions
What is the 6054th prime number?
59957.
Which prime number is 59957?
59957 is the 6054th prime number.
What is the sum of the first 6054 primes?
171,668,787.