Given a sentence in Tagalog language, translate the sentence to English language keeping the meaning of the original sentence intact.

Tagalog sentence: Sa kanyang sanaysay Heilbronn din inilapat ang kanyang mga resulta sa primes sa isang arithmetic paglala at sa estima ng sum ng Mobius function.
In his thesis Heilbronn also applied his result to primes in an arithmetic progression and to estimates of the sum of the Mobius function.

Tagalog sentence: 25 Si Mathanias, at si Bucbucias, si Obadias, si Mesullam, si Talmon, si Accub, ay mga tagatanod-pinto, na nangagbabantay sa mga kamalig ng mga pintuang-bayan.
25 Mattaniah, and Bakbukiah, Obadiah, Meshullam, Talmon, Akkub, were porters keeping the ward at the thresholds of the gates.

Tagalog sentence: GRABE TALAGA, iba ang PINOY! pagnatatalo, NADAYA!! pathetic! kaya ndi tayo umaasenso... HELLO!! dumaan po sa SGV and Co.. a trusted audit firm... the choice of most corporations... every cent and text vote count is audited and monitored.. kaya nga di ba sa huli nandun din sila to make sure na tama yung i-announce na pangalan based sa kanilang result...
sa tingin ko with melay or jason..hindi naman ung nangiwan cla sa ere...of wot i saw with melay that's wot she is..mingay pero pagdating sa mga bagay na ganyan eh mahina sya..i dunno if u've watch that episode were princess was being a bitch with the housemates..tapos everybody was like arguing na she was just standing there very quiet and she had that scary/afraid looked on her face...