What is the 4965th prime number?
The 4965th prime number is 48239. The next prime is 48247 (a gap of 8) and the one before is 48221.
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 4965th one is 48239.
- 2
48239 is prime because no prime up to ā48239 ā 219.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4965th prime is close to 4965 Ć ln(4965) ā 42253, and here it is 48239.
- 4
48239 has no twin: neither 48237 nor 48241 is prime.
Primes around the 4965th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4962 | 48193 | 6 |
| 4963 | 48197 | 4 |
| 4964 | 48221 | 24 |
| 4965 | 48239 | 18 |
| 4966 | 48247 | 8 |
| 4967 | 48259 | 12 |
| 4968 | 48271 | 12 |
Questions
What is the 4965th prime number?
48239.
Which prime number is 48239?
48239 is the 4965th prime number.
What is the sum of the first 4965 primes?
112,760,020.