What is the 5976th prime number?
The 5976th prime number is 59107. The next prime is 59113 (a gap of 6) and the one before is 59093.
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 5976th one is 59107.
- 2
59107 is prime because no prime up to ā59107 ā 243.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5976th prime is close to 5976 Ć ln(5976) ā 51964, and here it is 59107.
- 4
59107 has no twin: neither 59105 nor 59109 is prime.
Primes around the 5976th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5973 | 59077 | 8 |
| 5974 | 59083 | 6 |
| 5975 | 59093 | 10 |
| 5976 | 59107 | 14 |
| 5977 | 59113 | 6 |
| 5978 | 59119 | 6 |
| 5979 | 59123 | 4 |
Questions
What is the 5976th prime number?
59107.
Which prime number is 59107?
59107 is the 5976th prime number.
What is the sum of the first 5976 primes?
167,027,241.