What is the 4888th prime number?
The 4888th prime number is 47407. The next prime is 47417 (a gap of 10) and the one before is 47389.
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 4888th one is 47407.
- 2
47407 is prime because no prime up to ā47407 ā 217.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4888th prime is close to 4888 Ć ln(4888) ā 41521, and here it is 47407.
- 4
47407 has no twin: neither 47405 nor 47409 is prime.
Primes around the 4888th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4885 | 47381 | 18 |
| 4886 | 47387 | 6 |
| 4887 | 47389 | 2 |
| 4888 | 47407 | 18 |
| 4889 | 47417 | 10 |
| 4890 | 47419 | 2 |
| 4891 | 47431 | 12 |
Questions
What is the 4888th prime number?
47407.
Which prime number is 47407?
47407 is the 4888th prime number.
What is the sum of the first 4888 primes?
109,078,771.