What is the 4968th prime number?
The 4968th prime number is 48271. The next prime is 48281 (a gap of 10) and the one before is 48259.
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 4968th one is 48271.
- 2
48271 is prime because no prime up to ā48271 ā 219.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4968th prime is close to 4968 Ć ln(4968) ā 42282, and here it is 48271.
- 4
48271 has no twin: neither 48269 nor 48273 is prime.
Primes around the 4968th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4965 | 48239 | 18 |
| 4966 | 48247 | 8 |
| 4967 | 48259 | 12 |
| 4968 | 48271 | 12 |
| 4969 | 48281 | 10 |
| 4970 | 48299 | 18 |
| 4971 | 48311 | 12 |
Questions
What is the 4968th prime number?
48271.
Which prime number is 48271?
48271 is the 4968th prime number.
What is the sum of the first 4968 primes?
112,904,797.