What is the 5063rd prime number?
The 5063rd prime number is 49261. The next prime is 49277 (a gap of 16) and the one before is 49253.
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 5063rd one is 49261.
- 2
49261 is prime because no prime up to ā49261 ā 221.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5063rd prime is close to 5063 Ć ln(5063) ā 43186, and here it is 49261.
- 4
49261 has no twin: neither 49259 nor 49263 is prime.
Primes around the 5063rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5060 | 49211 | 4 |
| 5061 | 49223 | 12 |
| 5062 | 49253 | 30 |
| 5063 | 49261 | 8 |
| 5064 | 49277 | 16 |
| 5065 | 49279 | 2 |
| 5066 | 49297 | 18 |
Questions
What is the 5063rd prime number?
49261.
Which prime number is 49261?
49261 is the 5063rd prime number.
What is the sum of the first 5063 primes?
117,538,754.