What is the 4906th prime number?
The 4906th prime number is 47591. The next prime is 47599 (a gap of 8) and the one before is 47581.
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 4906th one is 47591.
- 2
47591 is prime because no prime up to ā47591 ā 218.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4906th prime is close to 4906 Ć ln(4906) ā 41692, and here it is 47591.
- 4
47591 has no twin: neither 47589 nor 47593 is prime.
Primes around the 4906th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4903 | 47563 | 20 |
| 4904 | 47569 | 6 |
| 4905 | 47581 | 12 |
| 4906 | 47591 | 10 |
| 4907 | 47599 | 8 |
| 4908 | 47609 | 10 |
| 4909 | 47623 | 14 |
Questions
What is the 4906th prime number?
47591.
Which prime number is 47591?
47591 is the 4906th prime number.
What is the sum of the first 4906 primes?
109,933,875.