What is the 5975th prime number?
The 5975th prime number is 59093. The next prime is 59107 (a gap of 14) and the one before is 59083.
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 5975th one is 59093.
- 2
59093 is prime because no prime up to ā59093 ā 243.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5975th prime is close to 5975 Ć ln(5975) ā 51955, and here it is 59093.
- 4
59093 has no twin: neither 59091 nor 59095 is prime.
Primes around the 5975th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5972 | 59069 | 6 |
| 5973 | 59077 | 8 |
| 5974 | 59083 | 6 |
| 5975 | 59093 | 10 |
| 5976 | 59107 | 14 |
| 5977 | 59113 | 6 |
| 5978 | 59119 | 6 |
Questions
What is the 5975th prime number?
59093.
Which prime number is 59093?
59093 is the 5975th prime number.
What is the sum of the first 5975 primes?
166,968,134.