What is the 5970th prime number?
The 5970th prime number is 59053. The next prime is 59063 (a gap of 10) and the one before is 59051.
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 5970th one is 59053.
- 2
59053 is prime because no prime up to ā59053 ā 243.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5970th prime is close to 5970 Ć ln(5970) ā 51906, and here it is 59053.
- 4
59053 is a twin prime: 59051 and 59053 are both prime.
Primes around the 5970th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5967 | 59023 | 2 |
| 5968 | 59029 | 6 |
| 5969 | 59051 | 22 |
| 5970 | 59053 | 2 |
| 5971 | 59063 | 10 |
| 5972 | 59069 | 6 |
| 5973 | 59077 | 8 |
Questions
What is the 5970th prime number?
59053.
Which prime number is 59053?
59053 is the 5970th prime number.
What is the sum of the first 5970 primes?
166,672,749.