What is the 4969th prime number?
The 4969th prime number is 48281. The next prime is 48299 (a gap of 18) and the one before is 48271.
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 4969th one is 48281.
- 2
48281 is prime because no prime up to ā48281 ā 219.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4969th prime is close to 4969 Ć ln(4969) ā 42291, and here it is 48281.
- 4
48281 has no twin: neither 48279 nor 48283 is prime.
Primes around the 4969th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4966 | 48247 | 8 |
| 4967 | 48259 | 12 |
| 4968 | 48271 | 12 |
| 4969 | 48281 | 10 |
| 4970 | 48299 | 18 |
| 4971 | 48311 | 12 |
| 4972 | 48313 | 2 |
Questions
What is the 4969th prime number?
48281.
Which prime number is 48281?
48281 is the 4969th prime number.
What is the sum of the first 4969 primes?
112,953,078.