What is the 5977th prime number?
The 5977th prime number is 59113. The next prime is 59119 (a gap of 6) and the one before is 59107.
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 5977th one is 59113.
- 2
59113 is prime because no prime up to ā59113 ā 243.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5977th prime is close to 5977 Ć ln(5977) ā 51974, and here it is 59113.
- 4
59113 has no twin: neither 59111 nor 59115 is prime.
Primes around the 5977th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5974 | 59083 | 6 |
| 5975 | 59093 | 10 |
| 5976 | 59107 | 14 |
| 5977 | 59113 | 6 |
| 5978 | 59119 | 6 |
| 5979 | 59123 | 4 |
| 5980 | 59141 | 18 |
Questions
What is the 5977th prime number?
59113.
Which prime number is 59113?
59113 is the 5977th prime number.
What is the sum of the first 5977 primes?
167,086,354.