What is the 4966th prime number?
The 4966th prime number is 48247. The next prime is 48259 (a gap of 12) and the one before is 48239.
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 4966th one is 48247.
- 2
48247 is prime because no prime up to ā48247 ā 219.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4966th prime is close to 4966 Ć ln(4966) ā 42262, and here it is 48247.
- 4
48247 has no twin: neither 48245 nor 48249 is prime.
Primes around the 4966th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4963 | 48197 | 4 |
| 4964 | 48221 | 24 |
| 4965 | 48239 | 18 |
| 4966 | 48247 | 8 |
| 4967 | 48259 | 12 |
| 4968 | 48271 | 12 |
| 4969 | 48281 | 10 |
Questions
What is the 4966th prime number?
48247.
Which prime number is 48247?
48247 is the 4966th prime number.
What is the sum of the first 4966 primes?
112,808,267.