What is the 4903rd prime number?
The 4903rd prime number is 47563. The next prime is 47569 (a gap of 6) and the one before is 47543.
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 4903rd one is 47563.
- 2
47563 is prime because no prime up to ā47563 ā 218.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4903rd prime is close to 4903 Ć ln(4903) ā 41664, and here it is 47563.
- 4
47563 has no twin: neither 47561 nor 47565 is prime.
Primes around the 4903rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4900 | 47527 | 6 |
| 4901 | 47533 | 6 |
| 4902 | 47543 | 10 |
| 4903 | 47563 | 20 |
| 4904 | 47569 | 6 |
| 4905 | 47581 | 12 |
| 4906 | 47591 | 10 |
Questions
What is the 4903rd prime number?
47563.
Which prime number is 47563?
47563 is the 4903rd prime number.
What is the sum of the first 4903 primes?
109,791,134.