What is the 5971st prime number?
The 5971st prime number is 59063. The next prime is 59069 (a gap of 6) and the one before is 59053.
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 5971st one is 59063.
- 2
59063 is prime because no prime up to ā59063 ā 243.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5971st prime is close to 5971 Ć ln(5971) ā 51916, and here it is 59063.
- 4
59063 has no twin: neither 59061 nor 59065 is prime.
Primes around the 5971st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5968 | 59029 | 6 |
| 5969 | 59051 | 22 |
| 5970 | 59053 | 2 |
| 5971 | 59063 | 10 |
| 5972 | 59069 | 6 |
| 5973 | 59077 | 8 |
| 5974 | 59083 | 6 |
Questions
What is the 5971st prime number?
59063.
Which prime number is 59063?
59063 is the 5971st prime number.
What is the sum of the first 5971 primes?
166,731,812.