What is the 5963rd prime number?
The 5963rd prime number is 58997. The next prime is 59009 (a gap of 12) and the one before is 58991.
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 5963rd one is 58997.
- 2
58997 is prime because no prime up to ā58997 ā 242.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5963rd prime is close to 5963 Ć ln(5963) ā 51838, and here it is 58997.
- 4
58997 has no twin: neither 58995 nor 58999 is prime.
Primes around the 5963rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5960 | 58967 | 4 |
| 5961 | 58979 | 12 |
| 5962 | 58991 | 12 |
| 5963 | 58997 | 6 |
| 5964 | 59009 | 12 |
| 5965 | 59011 | 2 |
| 5966 | 59021 | 10 |
Questions
What is the 5963rd prime number?
58997.
Which prime number is 58997?
58997 is the 5963rd prime number.
What is the sum of the first 5963 primes?
166,259,552.