There is no specific number of links you need to rank your site. Each SEO campaign is different. Many factors influence your site’s ranking time, like keyword competition, on-page optimization, quality of your links and the speed of your link building. SEO is an anticipation game, where you need to act and react to the ranking effects.
Some websites need 10 links to rank; other sites need more than 30 links to rank an individual page. The only way to see the number of links you need, is to start sending links to your site until it ranks.