What is the 4902nd prime number?
The 4902nd prime number is 47543. The next prime is 47563 (a gap of 20) and the one before is 47533.
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 4902nd one is 47543.
- 2
47543 is prime because no prime up to ā47543 ā 218.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4902nd prime is close to 4902 Ć ln(4902) ā 41654, and here it is 47543.
- 4
47543 has no twin: neither 47541 nor 47545 is prime.
Primes around the 4902nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4899 | 47521 | 8 |
| 4900 | 47527 | 6 |
| 4901 | 47533 | 6 |
| 4902 | 47543 | 10 |
| 4903 | 47563 | 20 |
| 4904 | 47569 | 6 |
| 4905 | 47581 | 12 |
Questions
What is the 4902nd prime number?
47543.
Which prime number is 47543?
47543 is the 4902nd prime number.
What is the sum of the first 4902 primes?
109,743,571.