What is the 4967th prime number?
The 4967th prime number is 48259. The next prime is 48271 (a gap of 12) and the one before is 48247.
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 4967th one is 48259.
- 2
48259 is prime because no prime up to ā48259 ā 219.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4967th prime is close to 4967 Ć ln(4967) ā 42272, and here it is 48259.
- 4
48259 has no twin: neither 48257 nor 48261 is prime.
Primes around the 4967th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4964 | 48221 | 24 |
| 4965 | 48239 | 18 |
| 4966 | 48247 | 8 |
| 4967 | 48259 | 12 |
| 4968 | 48271 | 12 |
| 4969 | 48281 | 10 |
| 4970 | 48299 | 18 |
Questions
What is the 4967th prime number?
48259.
Which prime number is 48259?
48259 is the 4967th prime number.
What is the sum of the first 4967 primes?
112,856,526.