What is the 5962nd prime number?
The 5962nd prime number is 58991. The next prime is 58997 (a gap of 6) and the one before is 58979.
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 5962nd one is 58991.
- 2
58991 is prime because no prime up to ā58991 ā 242.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5962nd prime is close to 5962 Ć ln(5962) ā 51829, and here it is 58991.
- 4
58991 has no twin: neither 58989 nor 58993 is prime.
Primes around the 5962nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5959 | 58963 | 20 |
| 5960 | 58967 | 4 |
| 5961 | 58979 | 12 |
| 5962 | 58991 | 12 |
| 5963 | 58997 | 6 |
| 5964 | 59009 | 12 |
| 5965 | 59011 | 2 |
Questions
What is the 5962nd prime number?
58991.
Which prime number is 58991?
58991 is the 5962nd prime number.
What is the sum of the first 5962 primes?
166,200,555.