What is the 5972nd prime number?
The 5972nd prime number is 59069. The next prime is 59077 (a gap of 8) and the one before is 59063.
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 5972nd one is 59069.
- 2
59069 is prime because no prime up to ā59069 ā 243.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5972nd prime is close to 5972 Ć ln(5972) ā 51926, and here it is 59069.
- 4
59069 has no twin: neither 59067 nor 59071 is prime.
Primes around the 5972nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5969 | 59051 | 22 |
| 5970 | 59053 | 2 |
| 5971 | 59063 | 10 |
| 5972 | 59069 | 6 |
| 5973 | 59077 | 8 |
| 5974 | 59083 | 6 |
| 5975 | 59093 | 10 |
Questions
What is the 5972nd prime number?
59069.
Which prime number is 59069?
59069 is the 5972nd prime number.
What is the sum of the first 5972 primes?
166,790,881.