What is the 4900th prime number?
The 4900th prime number is 47527. The next prime is 47533 (a gap of 6) and the one before is 47521.
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 4900th one is 47527.
- 2
47527 is prime because no prime up to ā47527 ā 218.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4900th prime is close to 4900 Ć ln(4900) ā 41635, and here it is 47527.
- 4
47527 has no twin: neither 47525 nor 47529 is prime.
Primes around the 4900th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4897 | 47507 | 6 |
| 4898 | 47513 | 6 |
| 4899 | 47521 | 8 |
| 4900 | 47527 | 6 |
| 4901 | 47533 | 6 |
| 4902 | 47543 | 10 |
| 4903 | 47563 | 20 |
Questions
What is the 4900th prime number?
47527.
Which prime number is 47527?
47527 is the 4900th prime number.
What is the sum of the first 4900 primes?
109,648,495.