What is the 4963rd prime number?
The 4963rd prime number is 48197. The next prime is 48221 (a gap of 24) and the one before is 48193.
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 4963rd one is 48197.
- 2
48197 is prime because no prime up to ā48197 ā 219.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4963rd prime is close to 4963 Ć ln(4963) ā 42234, and here it is 48197.
- 4
48197 has no twin: neither 48195 nor 48199 is prime.
Primes around the 4963rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4960 | 48179 | 16 |
| 4961 | 48187 | 8 |
| 4962 | 48193 | 6 |
| 4963 | 48197 | 4 |
| 4964 | 48221 | 24 |
| 4965 | 48239 | 18 |
| 4966 | 48247 | 8 |
Questions
What is the 4963rd prime number?
48197.
Which prime number is 48197?
48197 is the 4963rd prime number.
What is the sum of the first 4963 primes?
112,663,560.