What is the 6057th prime number?
The 6057th prime number is 59999. The next prime is 60013 (a gap of 14) and the one before is 59981.
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 6057th one is 59999.
- 2
59999 is prime because no prime up to ā59999 ā 244.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6057th prime is close to 6057 Ć ln(6057) ā 52750, and here it is 59999.
- 4
59999 has no twin: neither 59997 nor 60001 is prime.
Primes around the 6057th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6054 | 59957 | 6 |
| 6055 | 59971 | 14 |
| 6056 | 59981 | 10 |
| 6057 | 59999 | 18 |
| 6058 | 60013 | 14 |
| 6059 | 60017 | 4 |
| 6060 | 60029 | 12 |
Questions
What is the 6057th prime number?
59999.
Which prime number is 59999?
59999 is the 6057th prime number.
What is the sum of the first 6057 primes?
171,848,738.