What is the 7980th prime number?
The 7980th prime number is 81569. The next prime is 81611 (a gap of 42) and the one before is 81563.
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 7980th one is 81569.
- 2
81569 is prime because no prime up to ā81569 ā 285.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7980th prime is close to 7980 Ć ln(7980) ā 71698, and here it is 81569.
- 4
81569 has no twin: neither 81567 nor 81571 is prime.
Primes around the 7980th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7977 | 81553 | 2 |
| 7978 | 81559 | 6 |
| 7979 | 81563 | 4 |
| 7980 | 81569 | 6 |
| 7981 | 81611 | 42 |
| 7982 | 81619 | 8 |
| 7983 | 81629 | 10 |
Questions
What is the 7980th prime number?
81569.
Which prime number is 81569?
81569 is the 7980th prime number.
What is the sum of the first 7980 primes?
308,043,419.