What is the 8980th prime number?
The 8980th prime number is 92951. The next prime is 92957 (a gap of 6) and the one before is 92941.
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 8980th one is 92951.
- 2
92951 is prime because no prime up to ā92951 ā 304.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8980th prime is close to 8980 Ć ln(8980) ā 81743, and here it is 92951.
- 4
92951 has no twin: neither 92949 nor 92953 is prime.
Primes around the 8980th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8977 | 92921 | 22 |
| 8978 | 92927 | 6 |
| 8979 | 92941 | 14 |
| 8980 | 92951 | 10 |
| 8981 | 92957 | 6 |
| 8982 | 92959 | 2 |
| 8983 | 92987 | 28 |
Questions
What is the 8980th prime number?
92951.
Which prime number is 92951?
92951 is the 8980th prime number.
What is the sum of the first 8980 primes?
395,357,801.