What is the 5985th prime number?
The 5985th prime number is 59197. The next prime is 59207 (a gap of 10) and the one before is 59183.
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 5985th one is 59197.
- 2
59197 is prime because no prime up to ā59197 ā 243.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5985th prime is close to 5985 Ć ln(5985) ā 52052, and here it is 59197.
- 4
59197 has no twin: neither 59195 nor 59199 is prime.
Primes around the 5985th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5982 | 59159 | 10 |
| 5983 | 59167 | 8 |
| 5984 | 59183 | 16 |
| 5985 | 59197 | 14 |
| 5986 | 59207 | 10 |
| 5987 | 59209 | 2 |
| 5988 | 59219 | 10 |
Questions
What is the 5985th prime number?
59197.
Which prime number is 59197?
59197 is the 5985th prime number.
What is the sum of the first 5985 primes?
167,559,592.