What is the 4904th prime number?
The 4904th prime number is 47569. The next prime is 47581 (a gap of 12) and the one before is 47563.
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 4904th one is 47569.
- 2
47569 is prime because no prime up to ā47569 ā 218.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4904th prime is close to 4904 Ć ln(4904) ā 41673, and here it is 47569.
- 4
47569 has no twin: neither 47567 nor 47571 is prime.
Primes around the 4904th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4901 | 47533 | 6 |
| 4902 | 47543 | 10 |
| 4903 | 47563 | 20 |
| 4904 | 47569 | 6 |
| 4905 | 47581 | 12 |
| 4906 | 47591 | 10 |
| 4907 | 47599 | 8 |
Questions
What is the 4904th prime number?
47569.
Which prime number is 47569?
47569 is the 4904th prime number.
What is the sum of the first 4904 primes?
109,838,703.