What is the 5974th prime number?
The 5974th prime number is 59083. The next prime is 59093 (a gap of 10) and the one before is 59077.
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 5974th one is 59083.
- 2
59083 is prime because no prime up to ā59083 ā 243.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5974th prime is close to 5974 Ć ln(5974) ā 51945, and here it is 59083.
- 4
59083 has no twin: neither 59081 nor 59085 is prime.
Primes around the 5974th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5971 | 59063 | 10 |
| 5972 | 59069 | 6 |
| 5973 | 59077 | 8 |
| 5974 | 59083 | 6 |
| 5975 | 59093 | 10 |
| 5976 | 59107 | 14 |
| 5977 | 59113 | 6 |
Questions
What is the 5974th prime number?
59083.
Which prime number is 59083?
59083 is the 5974th prime number.
What is the sum of the first 5974 primes?
166,909,041.